Some numbers are more equivalent than others












18












$begingroup$




         
ALL ANIMALS ARE EQUAL

   BUT SOME ANIMALS ARE MORE EQUAL THAN OTHERS




        

— from
Animal Farm
by George Orwell



A contrived simple
equivalence
rule applies neatly to numbers 0 through 99
but not to any other numbers.
Equivalences of numbers 0 through 19 are listed below,
accounting for almost all other eligible numbers as well,
where ‘=’ means “is equivalent to.”
(Each number is
reflexively
equivalent to itself.)




­  0 = no others     
­ 10 = no others

1 = no others     
­ 11 = 29 = 31 = 49 = 51 = 69 = 71 = 89 = 91

2 = no others     
­ 12 = 28 = 32 = 48 = 52 = 68 = 72 = 88 = 92

3 = no others     
­ 13 = 27 = 33 = 47 = 53 = 67 = 73 = 87 = 93

4 = no others     
­ 14 = 26 = 34 = 46 = 54 = 66 = 74 = 86 = 94

5 = no others     
­ 15 = 25 = 35 = 45 = 55 = 65 = 75 = 85 = 95

6 = no others     
­ 16 = 24 = 36 = 44 = 56 = 64 = 76 = 84 = 96

7 = no others     
­ 17 = 23 = 37 = 43 = 57 = 63 = 77 = 83 = 97

8 = no others     
­ 18 = 22 = 38 = 42 = 58 = 62 = 78 = 82 = 98

9 = no others     
­ 19 = 21 = 39 = 41 = 59 = 61 = 79 = 81 = 99





      
What would be the entry for 20 in this list?




            
­ 20 = ___ . . . ?




Please use and explain the simplest possible rule,
not purely mathematical,
that accounts for every equivalence from 0 to 99.










share|improve this question









$endgroup$








  • 2




    $begingroup$
    Apology for the lack of more specific tags: They would give away the solution.
    $endgroup$
    – humn
    Mar 24 at 18:08






  • 6




    $begingroup$
    Hurray, a humn puzzle! It's been a while.
    $endgroup$
    – Rand al'Thor
    Mar 24 at 19:06






  • 1




    $begingroup$
    Is there a way to "watch" a question so that I'm notified of new or accepted answers? I've already starred it.
    $endgroup$
    – MooseBoys
    Mar 27 at 1:04






  • 1




    $begingroup$
    To be clear, is the relation really only meaningful for numbers 0 thru 99, or are you just saying all numbers outside that range would be "no others"?
    $endgroup$
    – MooseBoys
    Mar 27 at 1:07












  • $begingroup$
    Thank you, @MooseBoys. Yes the relation only has relevance to numbers 0 through 99. "No others" would indeed be a great catch-all for other numbers.
    $endgroup$
    – humn
    Mar 27 at 12:17


















18












$begingroup$




         
ALL ANIMALS ARE EQUAL

   BUT SOME ANIMALS ARE MORE EQUAL THAN OTHERS




        

— from
Animal Farm
by George Orwell



A contrived simple
equivalence
rule applies neatly to numbers 0 through 99
but not to any other numbers.
Equivalences of numbers 0 through 19 are listed below,
accounting for almost all other eligible numbers as well,
where ‘=’ means “is equivalent to.”
(Each number is
reflexively
equivalent to itself.)




­  0 = no others     
­ 10 = no others

1 = no others     
­ 11 = 29 = 31 = 49 = 51 = 69 = 71 = 89 = 91

2 = no others     
­ 12 = 28 = 32 = 48 = 52 = 68 = 72 = 88 = 92

3 = no others     
­ 13 = 27 = 33 = 47 = 53 = 67 = 73 = 87 = 93

4 = no others     
­ 14 = 26 = 34 = 46 = 54 = 66 = 74 = 86 = 94

5 = no others     
­ 15 = 25 = 35 = 45 = 55 = 65 = 75 = 85 = 95

6 = no others     
­ 16 = 24 = 36 = 44 = 56 = 64 = 76 = 84 = 96

7 = no others     
­ 17 = 23 = 37 = 43 = 57 = 63 = 77 = 83 = 97

8 = no others     
­ 18 = 22 = 38 = 42 = 58 = 62 = 78 = 82 = 98

9 = no others     
­ 19 = 21 = 39 = 41 = 59 = 61 = 79 = 81 = 99





      
What would be the entry for 20 in this list?




            
­ 20 = ___ . . . ?




Please use and explain the simplest possible rule,
not purely mathematical,
that accounts for every equivalence from 0 to 99.










share|improve this question









$endgroup$








  • 2




    $begingroup$
    Apology for the lack of more specific tags: They would give away the solution.
    $endgroup$
    – humn
    Mar 24 at 18:08






  • 6




    $begingroup$
    Hurray, a humn puzzle! It's been a while.
    $endgroup$
    – Rand al'Thor
    Mar 24 at 19:06






  • 1




    $begingroup$
    Is there a way to "watch" a question so that I'm notified of new or accepted answers? I've already starred it.
    $endgroup$
    – MooseBoys
    Mar 27 at 1:04






  • 1




    $begingroup$
    To be clear, is the relation really only meaningful for numbers 0 thru 99, or are you just saying all numbers outside that range would be "no others"?
    $endgroup$
    – MooseBoys
    Mar 27 at 1:07












  • $begingroup$
    Thank you, @MooseBoys. Yes the relation only has relevance to numbers 0 through 99. "No others" would indeed be a great catch-all for other numbers.
    $endgroup$
    – humn
    Mar 27 at 12:17
















18












18








18


4



$begingroup$




         
ALL ANIMALS ARE EQUAL

   BUT SOME ANIMALS ARE MORE EQUAL THAN OTHERS




        

— from
Animal Farm
by George Orwell



A contrived simple
equivalence
rule applies neatly to numbers 0 through 99
but not to any other numbers.
Equivalences of numbers 0 through 19 are listed below,
accounting for almost all other eligible numbers as well,
where ‘=’ means “is equivalent to.”
(Each number is
reflexively
equivalent to itself.)




­  0 = no others     
­ 10 = no others

1 = no others     
­ 11 = 29 = 31 = 49 = 51 = 69 = 71 = 89 = 91

2 = no others     
­ 12 = 28 = 32 = 48 = 52 = 68 = 72 = 88 = 92

3 = no others     
­ 13 = 27 = 33 = 47 = 53 = 67 = 73 = 87 = 93

4 = no others     
­ 14 = 26 = 34 = 46 = 54 = 66 = 74 = 86 = 94

5 = no others     
­ 15 = 25 = 35 = 45 = 55 = 65 = 75 = 85 = 95

6 = no others     
­ 16 = 24 = 36 = 44 = 56 = 64 = 76 = 84 = 96

7 = no others     
­ 17 = 23 = 37 = 43 = 57 = 63 = 77 = 83 = 97

8 = no others     
­ 18 = 22 = 38 = 42 = 58 = 62 = 78 = 82 = 98

9 = no others     
­ 19 = 21 = 39 = 41 = 59 = 61 = 79 = 81 = 99





      
What would be the entry for 20 in this list?




            
­ 20 = ___ . . . ?




Please use and explain the simplest possible rule,
not purely mathematical,
that accounts for every equivalence from 0 to 99.










share|improve this question









$endgroup$






         
ALL ANIMALS ARE EQUAL

   BUT SOME ANIMALS ARE MORE EQUAL THAN OTHERS




        

— from
Animal Farm
by George Orwell



A contrived simple
equivalence
rule applies neatly to numbers 0 through 99
but not to any other numbers.
Equivalences of numbers 0 through 19 are listed below,
accounting for almost all other eligible numbers as well,
where ‘=’ means “is equivalent to.”
(Each number is
reflexively
equivalent to itself.)




­  0 = no others     
­ 10 = no others

1 = no others     
­ 11 = 29 = 31 = 49 = 51 = 69 = 71 = 89 = 91

2 = no others     
­ 12 = 28 = 32 = 48 = 52 = 68 = 72 = 88 = 92

3 = no others     
­ 13 = 27 = 33 = 47 = 53 = 67 = 73 = 87 = 93

4 = no others     
­ 14 = 26 = 34 = 46 = 54 = 66 = 74 = 86 = 94

5 = no others     
­ 15 = 25 = 35 = 45 = 55 = 65 = 75 = 85 = 95

6 = no others     
­ 16 = 24 = 36 = 44 = 56 = 64 = 76 = 84 = 96

7 = no others     
­ 17 = 23 = 37 = 43 = 57 = 63 = 77 = 83 = 97

8 = no others     
­ 18 = 22 = 38 = 42 = 58 = 62 = 78 = 82 = 98

9 = no others     
­ 19 = 21 = 39 = 41 = 59 = 61 = 79 = 81 = 99





      
What would be the entry for 20 in this list?




            
­ 20 = ___ . . . ?




Please use and explain the simplest possible rule,
not purely mathematical,
that accounts for every equivalence from 0 to 99.







lateral-thinking






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Mar 24 at 18:07









humnhumn

14.8k442133




14.8k442133








  • 2




    $begingroup$
    Apology for the lack of more specific tags: They would give away the solution.
    $endgroup$
    – humn
    Mar 24 at 18:08






  • 6




    $begingroup$
    Hurray, a humn puzzle! It's been a while.
    $endgroup$
    – Rand al'Thor
    Mar 24 at 19:06






  • 1




    $begingroup$
    Is there a way to "watch" a question so that I'm notified of new or accepted answers? I've already starred it.
    $endgroup$
    – MooseBoys
    Mar 27 at 1:04






  • 1




    $begingroup$
    To be clear, is the relation really only meaningful for numbers 0 thru 99, or are you just saying all numbers outside that range would be "no others"?
    $endgroup$
    – MooseBoys
    Mar 27 at 1:07












  • $begingroup$
    Thank you, @MooseBoys. Yes the relation only has relevance to numbers 0 through 99. "No others" would indeed be a great catch-all for other numbers.
    $endgroup$
    – humn
    Mar 27 at 12:17
















  • 2




    $begingroup$
    Apology for the lack of more specific tags: They would give away the solution.
    $endgroup$
    – humn
    Mar 24 at 18:08






  • 6




    $begingroup$
    Hurray, a humn puzzle! It's been a while.
    $endgroup$
    – Rand al'Thor
    Mar 24 at 19:06






  • 1




    $begingroup$
    Is there a way to "watch" a question so that I'm notified of new or accepted answers? I've already starred it.
    $endgroup$
    – MooseBoys
    Mar 27 at 1:04






  • 1




    $begingroup$
    To be clear, is the relation really only meaningful for numbers 0 thru 99, or are you just saying all numbers outside that range would be "no others"?
    $endgroup$
    – MooseBoys
    Mar 27 at 1:07












  • $begingroup$
    Thank you, @MooseBoys. Yes the relation only has relevance to numbers 0 through 99. "No others" would indeed be a great catch-all for other numbers.
    $endgroup$
    – humn
    Mar 27 at 12:17










2




2




$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
Mar 24 at 18:08




$begingroup$
Apology for the lack of more specific tags: They would give away the solution.
$endgroup$
– humn
Mar 24 at 18:08




6




6




$begingroup$
Hurray, a humn puzzle! It's been a while.
$endgroup$
– Rand al'Thor
Mar 24 at 19:06




$begingroup$
Hurray, a humn puzzle! It's been a while.
$endgroup$
– Rand al'Thor
Mar 24 at 19:06




1




1




$begingroup$
Is there a way to "watch" a question so that I'm notified of new or accepted answers? I've already starred it.
$endgroup$
– MooseBoys
Mar 27 at 1:04




$begingroup$
Is there a way to "watch" a question so that I'm notified of new or accepted answers? I've already starred it.
$endgroup$
– MooseBoys
Mar 27 at 1:04




1




1




$begingroup$
To be clear, is the relation really only meaningful for numbers 0 thru 99, or are you just saying all numbers outside that range would be "no others"?
$endgroup$
– MooseBoys
Mar 27 at 1:07






$begingroup$
To be clear, is the relation really only meaningful for numbers 0 thru 99, or are you just saying all numbers outside that range would be "no others"?
$endgroup$
– MooseBoys
Mar 27 at 1:07














$begingroup$
Thank you, @MooseBoys. Yes the relation only has relevance to numbers 0 through 99. "No others" would indeed be a great catch-all for other numbers.
$endgroup$
– humn
Mar 27 at 12:17






$begingroup$
Thank you, @MooseBoys. Yes the relation only has relevance to numbers 0 through 99. "No others" would indeed be a great catch-all for other numbers.
$endgroup$
– humn
Mar 27 at 12:17












3 Answers
3






active

oldest

votes


















3












$begingroup$

Answer:




20 = no others




Reason: (humn has told me that this is wrong but it's my favorite guess of mine)




Because you gave us a list of equivalences which are more equal than others. So we can assume the remaining numbers are less equal and therefore only equal to themselves.






Other guesses:




Xilpex's rule applies if no digits are zero. If any digit is zero (2 can be written as 02) then there are no equivalents


Because the rules are contrived so I can simply invent whatever I want for the rules that aren't given to me.







share|improve this answer











$endgroup$













  • $begingroup$
    Correct answer, @ferret! But the reasoning is more complicated than necessary.
    $endgroup$
    – humn
    Mar 25 at 2:02






  • 1




    $begingroup$
    @humn edited with a new "lateral thinking" attempt
    $endgroup$
    – ferret
    Mar 25 at 3:04






  • 1




    $begingroup$
    You're on the way, @ferret, and gave me an idea for another puzzle. Still missing the essential ingredient.
    $endgroup$
    – humn
    Mar 25 at 4:06






  • 1




    $begingroup$
    @humn is it because they are rot13 pbagevirq?
    $endgroup$
    – ferret
    Mar 25 at 5:31






  • 1




    $begingroup$
    Thank you for playing along, @ferret. Pleasure to have met you.
    $endgroup$
    – humn
    Mar 25 at 17:06





















2












$begingroup$

20 would be:




20 = 20 = 40 = 40 = 60 = 60 = 80 = 80 = 100




Explanation:




The rule (vertically) is: Line 1 + 1, then Line 2 - 1, and so on.







share|improve this answer









$endgroup$









  • 3




    $begingroup$
    Thank you for taking the bait, Xilpex. Not quite the solution, though. For instance, it doesn't explain the entry for 10.
    $endgroup$
    – humn
    Mar 24 at 18:23








  • 1




    $begingroup$
    @humn Ok. I'll see if there is any other answer... :D
    $endgroup$
    – Xilpex
    Mar 24 at 18:25






  • 1




    $begingroup$
    Plus there is no $100$.
    $endgroup$
    – Arnaud Mortier
    Mar 24 at 18:36



















2












$begingroup$

  0 = no others      ­ 10 = no others      ­ 20 = no others

  1 = no others      ­ 1 1 = 2 9 = 3 1 = 4 9 = 5 1 = 69 = 71 = 89 = 91

  2 = no others      ­ 1 2 = 2 8 = 3 2 = 4 8 = 5 2 = 68 = 72 = 88 = 92

  3 = no others      ­ 1 3 = 2 7 = 3 3 = 4 7 = 5 3 = 67 = 73 = 87 = 93

  4 = no others      ­ 1 4 = 2 6 = 3 4 = 4 6 = 5 4 = 66 = 74 = 86 = 94

  5 = no others      ­ 1 5 = 2 5 = 3 5 = 4 5 = 5 5 = 65 = 75 = 85 = 95

  6 = no others      ­ 1 6 = 2 4 = 3 6 = 4 4 = 5 6 = 64 = 76 = 84 = 96

  7 = no others      ­ 1 7 = 2 3 = 3 7 = 4 3 = 5 7 = 63 = 77 = 83 = 97

  8 = no others      ­ 1 8 = 2 2 = 3 8 = 4 2 = 5 8 = 62 = 78 = 82 = 98

  9 = no others      ­ 1 9 = 2 1 = 3 9 = 4 1 = 5 9 = 61 = 79 = 81 = 99

Delete the tens digit, like follow:



  0 = no others      ­ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

  1 = no others      ­ 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1

  2 = no others      ­ 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2

  3 = no others      ­ 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3

  4 = no others      ­ 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4

  5 = no others      ­ 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5

  6 = no others      ­ 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6

  7 = no others      ­ 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7

  8 = no others      ­ 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8

  9 = no others      ­ 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9

So there is no rules to 0,




20 = no others







share|improve this answer











$endgroup$









  • 1




    $begingroup$
    Keep going, @user58107! It's simpler than that.
    $endgroup$
    – humn
    Mar 25 at 6:42








  • 2




    $begingroup$
    look the column, my English very poor, can't explain clarification.
    $endgroup$
    – user58107
    Mar 25 at 6:46










  • $begingroup$
    Oh, oh oh oh, @user58107, this puzzle relies on English. (Big give-away.) Thank you for hitching the ride.
    $endgroup$
    – humn
    Mar 25 at 6:52












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3 Answers
3






active

oldest

votes








3 Answers
3






active

oldest

votes









active

oldest

votes






active

oldest

votes









3












$begingroup$

Answer:




20 = no others




Reason: (humn has told me that this is wrong but it's my favorite guess of mine)




Because you gave us a list of equivalences which are more equal than others. So we can assume the remaining numbers are less equal and therefore only equal to themselves.






Other guesses:




Xilpex's rule applies if no digits are zero. If any digit is zero (2 can be written as 02) then there are no equivalents


Because the rules are contrived so I can simply invent whatever I want for the rules that aren't given to me.







share|improve this answer











$endgroup$













  • $begingroup$
    Correct answer, @ferret! But the reasoning is more complicated than necessary.
    $endgroup$
    – humn
    Mar 25 at 2:02






  • 1




    $begingroup$
    @humn edited with a new "lateral thinking" attempt
    $endgroup$
    – ferret
    Mar 25 at 3:04






  • 1




    $begingroup$
    You're on the way, @ferret, and gave me an idea for another puzzle. Still missing the essential ingredient.
    $endgroup$
    – humn
    Mar 25 at 4:06






  • 1




    $begingroup$
    @humn is it because they are rot13 pbagevirq?
    $endgroup$
    – ferret
    Mar 25 at 5:31






  • 1




    $begingroup$
    Thank you for playing along, @ferret. Pleasure to have met you.
    $endgroup$
    – humn
    Mar 25 at 17:06


















3












$begingroup$

Answer:




20 = no others




Reason: (humn has told me that this is wrong but it's my favorite guess of mine)




Because you gave us a list of equivalences which are more equal than others. So we can assume the remaining numbers are less equal and therefore only equal to themselves.






Other guesses:




Xilpex's rule applies if no digits are zero. If any digit is zero (2 can be written as 02) then there are no equivalents


Because the rules are contrived so I can simply invent whatever I want for the rules that aren't given to me.







share|improve this answer











$endgroup$













  • $begingroup$
    Correct answer, @ferret! But the reasoning is more complicated than necessary.
    $endgroup$
    – humn
    Mar 25 at 2:02






  • 1




    $begingroup$
    @humn edited with a new "lateral thinking" attempt
    $endgroup$
    – ferret
    Mar 25 at 3:04






  • 1




    $begingroup$
    You're on the way, @ferret, and gave me an idea for another puzzle. Still missing the essential ingredient.
    $endgroup$
    – humn
    Mar 25 at 4:06






  • 1




    $begingroup$
    @humn is it because they are rot13 pbagevirq?
    $endgroup$
    – ferret
    Mar 25 at 5:31






  • 1




    $begingroup$
    Thank you for playing along, @ferret. Pleasure to have met you.
    $endgroup$
    – humn
    Mar 25 at 17:06
















3












3








3





$begingroup$

Answer:




20 = no others




Reason: (humn has told me that this is wrong but it's my favorite guess of mine)




Because you gave us a list of equivalences which are more equal than others. So we can assume the remaining numbers are less equal and therefore only equal to themselves.






Other guesses:




Xilpex's rule applies if no digits are zero. If any digit is zero (2 can be written as 02) then there are no equivalents


Because the rules are contrived so I can simply invent whatever I want for the rules that aren't given to me.







share|improve this answer











$endgroup$



Answer:




20 = no others




Reason: (humn has told me that this is wrong but it's my favorite guess of mine)




Because you gave us a list of equivalences which are more equal than others. So we can assume the remaining numbers are less equal and therefore only equal to themselves.






Other guesses:




Xilpex's rule applies if no digits are zero. If any digit is zero (2 can be written as 02) then there are no equivalents


Because the rules are contrived so I can simply invent whatever I want for the rules that aren't given to me.








share|improve this answer














share|improve this answer



share|improve this answer








edited Mar 25 at 17:07

























answered Mar 24 at 23:29









ferretferret

2,0151828




2,0151828












  • $begingroup$
    Correct answer, @ferret! But the reasoning is more complicated than necessary.
    $endgroup$
    – humn
    Mar 25 at 2:02






  • 1




    $begingroup$
    @humn edited with a new "lateral thinking" attempt
    $endgroup$
    – ferret
    Mar 25 at 3:04






  • 1




    $begingroup$
    You're on the way, @ferret, and gave me an idea for another puzzle. Still missing the essential ingredient.
    $endgroup$
    – humn
    Mar 25 at 4:06






  • 1




    $begingroup$
    @humn is it because they are rot13 pbagevirq?
    $endgroup$
    – ferret
    Mar 25 at 5:31






  • 1




    $begingroup$
    Thank you for playing along, @ferret. Pleasure to have met you.
    $endgroup$
    – humn
    Mar 25 at 17:06




















  • $begingroup$
    Correct answer, @ferret! But the reasoning is more complicated than necessary.
    $endgroup$
    – humn
    Mar 25 at 2:02






  • 1




    $begingroup$
    @humn edited with a new "lateral thinking" attempt
    $endgroup$
    – ferret
    Mar 25 at 3:04






  • 1




    $begingroup$
    You're on the way, @ferret, and gave me an idea for another puzzle. Still missing the essential ingredient.
    $endgroup$
    – humn
    Mar 25 at 4:06






  • 1




    $begingroup$
    @humn is it because they are rot13 pbagevirq?
    $endgroup$
    – ferret
    Mar 25 at 5:31






  • 1




    $begingroup$
    Thank you for playing along, @ferret. Pleasure to have met you.
    $endgroup$
    – humn
    Mar 25 at 17:06


















$begingroup$
Correct answer, @ferret! But the reasoning is more complicated than necessary.
$endgroup$
– humn
Mar 25 at 2:02




$begingroup$
Correct answer, @ferret! But the reasoning is more complicated than necessary.
$endgroup$
– humn
Mar 25 at 2:02




1




1




$begingroup$
@humn edited with a new "lateral thinking" attempt
$endgroup$
– ferret
Mar 25 at 3:04




$begingroup$
@humn edited with a new "lateral thinking" attempt
$endgroup$
– ferret
Mar 25 at 3:04




1




1




$begingroup$
You're on the way, @ferret, and gave me an idea for another puzzle. Still missing the essential ingredient.
$endgroup$
– humn
Mar 25 at 4:06




$begingroup$
You're on the way, @ferret, and gave me an idea for another puzzle. Still missing the essential ingredient.
$endgroup$
– humn
Mar 25 at 4:06




1




1




$begingroup$
@humn is it because they are rot13 pbagevirq?
$endgroup$
– ferret
Mar 25 at 5:31




$begingroup$
@humn is it because they are rot13 pbagevirq?
$endgroup$
– ferret
Mar 25 at 5:31




1




1




$begingroup$
Thank you for playing along, @ferret. Pleasure to have met you.
$endgroup$
– humn
Mar 25 at 17:06






$begingroup$
Thank you for playing along, @ferret. Pleasure to have met you.
$endgroup$
– humn
Mar 25 at 17:06













2












$begingroup$

20 would be:




20 = 20 = 40 = 40 = 60 = 60 = 80 = 80 = 100




Explanation:




The rule (vertically) is: Line 1 + 1, then Line 2 - 1, and so on.







share|improve this answer









$endgroup$









  • 3




    $begingroup$
    Thank you for taking the bait, Xilpex. Not quite the solution, though. For instance, it doesn't explain the entry for 10.
    $endgroup$
    – humn
    Mar 24 at 18:23








  • 1




    $begingroup$
    @humn Ok. I'll see if there is any other answer... :D
    $endgroup$
    – Xilpex
    Mar 24 at 18:25






  • 1




    $begingroup$
    Plus there is no $100$.
    $endgroup$
    – Arnaud Mortier
    Mar 24 at 18:36
















2












$begingroup$

20 would be:




20 = 20 = 40 = 40 = 60 = 60 = 80 = 80 = 100




Explanation:




The rule (vertically) is: Line 1 + 1, then Line 2 - 1, and so on.







share|improve this answer









$endgroup$









  • 3




    $begingroup$
    Thank you for taking the bait, Xilpex. Not quite the solution, though. For instance, it doesn't explain the entry for 10.
    $endgroup$
    – humn
    Mar 24 at 18:23








  • 1




    $begingroup$
    @humn Ok. I'll see if there is any other answer... :D
    $endgroup$
    – Xilpex
    Mar 24 at 18:25






  • 1




    $begingroup$
    Plus there is no $100$.
    $endgroup$
    – Arnaud Mortier
    Mar 24 at 18:36














2












2








2





$begingroup$

20 would be:




20 = 20 = 40 = 40 = 60 = 60 = 80 = 80 = 100




Explanation:




The rule (vertically) is: Line 1 + 1, then Line 2 - 1, and so on.







share|improve this answer









$endgroup$



20 would be:




20 = 20 = 40 = 40 = 60 = 60 = 80 = 80 = 100




Explanation:




The rule (vertically) is: Line 1 + 1, then Line 2 - 1, and so on.








share|improve this answer












share|improve this answer



share|improve this answer










answered Mar 24 at 18:19









XilpexXilpex

272111




272111








  • 3




    $begingroup$
    Thank you for taking the bait, Xilpex. Not quite the solution, though. For instance, it doesn't explain the entry for 10.
    $endgroup$
    – humn
    Mar 24 at 18:23








  • 1




    $begingroup$
    @humn Ok. I'll see if there is any other answer... :D
    $endgroup$
    – Xilpex
    Mar 24 at 18:25






  • 1




    $begingroup$
    Plus there is no $100$.
    $endgroup$
    – Arnaud Mortier
    Mar 24 at 18:36














  • 3




    $begingroup$
    Thank you for taking the bait, Xilpex. Not quite the solution, though. For instance, it doesn't explain the entry for 10.
    $endgroup$
    – humn
    Mar 24 at 18:23








  • 1




    $begingroup$
    @humn Ok. I'll see if there is any other answer... :D
    $endgroup$
    – Xilpex
    Mar 24 at 18:25






  • 1




    $begingroup$
    Plus there is no $100$.
    $endgroup$
    – Arnaud Mortier
    Mar 24 at 18:36








3




3




$begingroup$
Thank you for taking the bait, Xilpex. Not quite the solution, though. For instance, it doesn't explain the entry for 10.
$endgroup$
– humn
Mar 24 at 18:23






$begingroup$
Thank you for taking the bait, Xilpex. Not quite the solution, though. For instance, it doesn't explain the entry for 10.
$endgroup$
– humn
Mar 24 at 18:23






1




1




$begingroup$
@humn Ok. I'll see if there is any other answer... :D
$endgroup$
– Xilpex
Mar 24 at 18:25




$begingroup$
@humn Ok. I'll see if there is any other answer... :D
$endgroup$
– Xilpex
Mar 24 at 18:25




1




1




$begingroup$
Plus there is no $100$.
$endgroup$
– Arnaud Mortier
Mar 24 at 18:36




$begingroup$
Plus there is no $100$.
$endgroup$
– Arnaud Mortier
Mar 24 at 18:36











2












$begingroup$

  0 = no others      ­ 10 = no others      ­ 20 = no others

  1 = no others      ­ 1 1 = 2 9 = 3 1 = 4 9 = 5 1 = 69 = 71 = 89 = 91

  2 = no others      ­ 1 2 = 2 8 = 3 2 = 4 8 = 5 2 = 68 = 72 = 88 = 92

  3 = no others      ­ 1 3 = 2 7 = 3 3 = 4 7 = 5 3 = 67 = 73 = 87 = 93

  4 = no others      ­ 1 4 = 2 6 = 3 4 = 4 6 = 5 4 = 66 = 74 = 86 = 94

  5 = no others      ­ 1 5 = 2 5 = 3 5 = 4 5 = 5 5 = 65 = 75 = 85 = 95

  6 = no others      ­ 1 6 = 2 4 = 3 6 = 4 4 = 5 6 = 64 = 76 = 84 = 96

  7 = no others      ­ 1 7 = 2 3 = 3 7 = 4 3 = 5 7 = 63 = 77 = 83 = 97

  8 = no others      ­ 1 8 = 2 2 = 3 8 = 4 2 = 5 8 = 62 = 78 = 82 = 98

  9 = no others      ­ 1 9 = 2 1 = 3 9 = 4 1 = 5 9 = 61 = 79 = 81 = 99

Delete the tens digit, like follow:



  0 = no others      ­ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

  1 = no others      ­ 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1

  2 = no others      ­ 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2

  3 = no others      ­ 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3

  4 = no others      ­ 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4

  5 = no others      ­ 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5

  6 = no others      ­ 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6

  7 = no others      ­ 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7

  8 = no others      ­ 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8

  9 = no others      ­ 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9

So there is no rules to 0,




20 = no others







share|improve this answer











$endgroup$









  • 1




    $begingroup$
    Keep going, @user58107! It's simpler than that.
    $endgroup$
    – humn
    Mar 25 at 6:42








  • 2




    $begingroup$
    look the column, my English very poor, can't explain clarification.
    $endgroup$
    – user58107
    Mar 25 at 6:46










  • $begingroup$
    Oh, oh oh oh, @user58107, this puzzle relies on English. (Big give-away.) Thank you for hitching the ride.
    $endgroup$
    – humn
    Mar 25 at 6:52
















2












$begingroup$

  0 = no others      ­ 10 = no others      ­ 20 = no others

  1 = no others      ­ 1 1 = 2 9 = 3 1 = 4 9 = 5 1 = 69 = 71 = 89 = 91

  2 = no others      ­ 1 2 = 2 8 = 3 2 = 4 8 = 5 2 = 68 = 72 = 88 = 92

  3 = no others      ­ 1 3 = 2 7 = 3 3 = 4 7 = 5 3 = 67 = 73 = 87 = 93

  4 = no others      ­ 1 4 = 2 6 = 3 4 = 4 6 = 5 4 = 66 = 74 = 86 = 94

  5 = no others      ­ 1 5 = 2 5 = 3 5 = 4 5 = 5 5 = 65 = 75 = 85 = 95

  6 = no others      ­ 1 6 = 2 4 = 3 6 = 4 4 = 5 6 = 64 = 76 = 84 = 96

  7 = no others      ­ 1 7 = 2 3 = 3 7 = 4 3 = 5 7 = 63 = 77 = 83 = 97

  8 = no others      ­ 1 8 = 2 2 = 3 8 = 4 2 = 5 8 = 62 = 78 = 82 = 98

  9 = no others      ­ 1 9 = 2 1 = 3 9 = 4 1 = 5 9 = 61 = 79 = 81 = 99

Delete the tens digit, like follow:



  0 = no others      ­ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

  1 = no others      ­ 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1

  2 = no others      ­ 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2

  3 = no others      ­ 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3

  4 = no others      ­ 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4

  5 = no others      ­ 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5

  6 = no others      ­ 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6

  7 = no others      ­ 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7

  8 = no others      ­ 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8

  9 = no others      ­ 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9

So there is no rules to 0,




20 = no others







share|improve this answer











$endgroup$









  • 1




    $begingroup$
    Keep going, @user58107! It's simpler than that.
    $endgroup$
    – humn
    Mar 25 at 6:42








  • 2




    $begingroup$
    look the column, my English very poor, can't explain clarification.
    $endgroup$
    – user58107
    Mar 25 at 6:46










  • $begingroup$
    Oh, oh oh oh, @user58107, this puzzle relies on English. (Big give-away.) Thank you for hitching the ride.
    $endgroup$
    – humn
    Mar 25 at 6:52














2












2








2





$begingroup$

  0 = no others      ­ 10 = no others      ­ 20 = no others

  1 = no others      ­ 1 1 = 2 9 = 3 1 = 4 9 = 5 1 = 69 = 71 = 89 = 91

  2 = no others      ­ 1 2 = 2 8 = 3 2 = 4 8 = 5 2 = 68 = 72 = 88 = 92

  3 = no others      ­ 1 3 = 2 7 = 3 3 = 4 7 = 5 3 = 67 = 73 = 87 = 93

  4 = no others      ­ 1 4 = 2 6 = 3 4 = 4 6 = 5 4 = 66 = 74 = 86 = 94

  5 = no others      ­ 1 5 = 2 5 = 3 5 = 4 5 = 5 5 = 65 = 75 = 85 = 95

  6 = no others      ­ 1 6 = 2 4 = 3 6 = 4 4 = 5 6 = 64 = 76 = 84 = 96

  7 = no others      ­ 1 7 = 2 3 = 3 7 = 4 3 = 5 7 = 63 = 77 = 83 = 97

  8 = no others      ­ 1 8 = 2 2 = 3 8 = 4 2 = 5 8 = 62 = 78 = 82 = 98

  9 = no others      ­ 1 9 = 2 1 = 3 9 = 4 1 = 5 9 = 61 = 79 = 81 = 99

Delete the tens digit, like follow:



  0 = no others      ­ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

  1 = no others      ­ 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1

  2 = no others      ­ 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2

  3 = no others      ­ 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3

  4 = no others      ­ 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4

  5 = no others      ­ 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5

  6 = no others      ­ 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6

  7 = no others      ­ 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7

  8 = no others      ­ 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8

  9 = no others      ­ 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9

So there is no rules to 0,




20 = no others







share|improve this answer











$endgroup$



  0 = no others      ­ 10 = no others      ­ 20 = no others

  1 = no others      ­ 1 1 = 2 9 = 3 1 = 4 9 = 5 1 = 69 = 71 = 89 = 91

  2 = no others      ­ 1 2 = 2 8 = 3 2 = 4 8 = 5 2 = 68 = 72 = 88 = 92

  3 = no others      ­ 1 3 = 2 7 = 3 3 = 4 7 = 5 3 = 67 = 73 = 87 = 93

  4 = no others      ­ 1 4 = 2 6 = 3 4 = 4 6 = 5 4 = 66 = 74 = 86 = 94

  5 = no others      ­ 1 5 = 2 5 = 3 5 = 4 5 = 5 5 = 65 = 75 = 85 = 95

  6 = no others      ­ 1 6 = 2 4 = 3 6 = 4 4 = 5 6 = 64 = 76 = 84 = 96

  7 = no others      ­ 1 7 = 2 3 = 3 7 = 4 3 = 5 7 = 63 = 77 = 83 = 97

  8 = no others      ­ 1 8 = 2 2 = 3 8 = 4 2 = 5 8 = 62 = 78 = 82 = 98

  9 = no others      ­ 1 9 = 2 1 = 3 9 = 4 1 = 5 9 = 61 = 79 = 81 = 99

Delete the tens digit, like follow:



  0 = no others      ­ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9

  1 = no others      ­ 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1

  2 = no others      ­ 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2

  3 = no others      ­ 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3

  4 = no others      ­ 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4

  5 = no others      ­ 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5 = 5

  6 = no others      ­ 6 = 4 = 6 = 4 = 6 = 4 = 6 = 4 = 6

  7 = no others      ­ 7 = 3 = 7 = 3 = 7 = 3 = 7 = 3 = 7

  8 = no others      ­ 8 = 2 = 8 = 2 = 8 = 2 = 8 = 2 = 8

  9 = no others      ­ 9 = 1 = 9 = 1 = 9 = 1 = 9 = 1 = 9

So there is no rules to 0,




20 = no others








share|improve this answer














share|improve this answer



share|improve this answer








edited Mar 25 at 6:36

























answered Mar 25 at 6:10









user58107user58107

212




212








  • 1




    $begingroup$
    Keep going, @user58107! It's simpler than that.
    $endgroup$
    – humn
    Mar 25 at 6:42








  • 2




    $begingroup$
    look the column, my English very poor, can't explain clarification.
    $endgroup$
    – user58107
    Mar 25 at 6:46










  • $begingroup$
    Oh, oh oh oh, @user58107, this puzzle relies on English. (Big give-away.) Thank you for hitching the ride.
    $endgroup$
    – humn
    Mar 25 at 6:52














  • 1




    $begingroup$
    Keep going, @user58107! It's simpler than that.
    $endgroup$
    – humn
    Mar 25 at 6:42








  • 2




    $begingroup$
    look the column, my English very poor, can't explain clarification.
    $endgroup$
    – user58107
    Mar 25 at 6:46










  • $begingroup$
    Oh, oh oh oh, @user58107, this puzzle relies on English. (Big give-away.) Thank you for hitching the ride.
    $endgroup$
    – humn
    Mar 25 at 6:52








1




1




$begingroup$
Keep going, @user58107! It's simpler than that.
$endgroup$
– humn
Mar 25 at 6:42






$begingroup$
Keep going, @user58107! It's simpler than that.
$endgroup$
– humn
Mar 25 at 6:42






2




2




$begingroup$
look the column, my English very poor, can't explain clarification.
$endgroup$
– user58107
Mar 25 at 6:46




$begingroup$
look the column, my English very poor, can't explain clarification.
$endgroup$
– user58107
Mar 25 at 6:46












$begingroup$
Oh, oh oh oh, @user58107, this puzzle relies on English. (Big give-away.) Thank you for hitching the ride.
$endgroup$
– humn
Mar 25 at 6:52




$begingroup$
Oh, oh oh oh, @user58107, this puzzle relies on English. (Big give-away.) Thank you for hitching the ride.
$endgroup$
– humn
Mar 25 at 6:52


















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