Brain Teaser - How does 12=11?

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Discussion Overview

The discussion revolves around the riddle stating that 12 equals 11 without using any mathematical operators or missing elements. Participants explore various interpretations and potential solutions, including counting methods and numerical bases.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that the statement could relate to counting methods used by early humans, indicating that 12 could be interpreted as "one two" and 11 as "one and one."
  • Another participant proposes that counting spaces between fingers rather than the fingers themselves could be relevant, though it does not resolve the equality.
  • Some participants express skepticism about solutions involving changing numeric bases without explicit indication, arguing that it undermines the riddle's constraints.
  • A participant mentions a logarithmic expression, questioning if it relates to the riddle.
  • One response humorously suggests that the riddle might be unsolvable or intentionally misleading, referencing similar discussions about mathematical paradoxes.
  • Another participant notes that both 12 and 11 could be seen as properties of a common object, hinting at a conceptual interpretation rather than a numerical one.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the interpretation of the riddle. Multiple competing views and interpretations remain, with some suggesting playful or abstract solutions while others challenge the validity of those approaches.

Contextual Notes

Some participants express concerns about the ambiguity of changing bases and the implications of counting methods, highlighting the limitations of the riddle's framing.

bbarry9999
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The following statement is true:

12=11


There are no mathematical operators (+, −, *, /), exponents, parentheses, etc. missing. How can 12 and 11 be equal?


Hint 1: The given is not false.

Hint 2: How did the first humans count?
 
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Would your UserID be a hint? :)
 
{\log_{12}}^{11}=x
 
Last edited:
is it one of two equals two of one?
 
HINT: Think 9. :)
 
I hope the solution is more clever than these:

- the left number is in base 9 notation, or

- the right number is in base 11, or

- the left number is in base-3 while the right one is in base-4, or

- keep changing numeric bases without telling anyone...

:-p
 
From what everyone else has said, I feel my answer was a bit unsual..would it be more like {\log_a}^b+{\log_b}^c={\log_a}^c?
 
The second hint makes me think of counting with my fingers. when you count to two, you can either say "one two" (12) or "one and one" (11). Is that it?
 
You may count spaces between your fingers, rather than the fingers themselves.
Doesn't make the number 12 equal to the number 11, though.
 
  • #10
if the solution is simply changing bases then the problem is wrong because in math...you cannot write two bases without indicating one.
 
  • #11
I would say that the first humans used their fingers to count from 1 to 10, and anything above that would be considered "a lot of damn numbers". In this sense, they would consider 12=11=many :-)

The real "answer" is probably having changed based without indicating it though (which is cheating since you said nothing is missing).
 
  • #12
...and bbarry9999 chuckled as he walked away, never to return after posting an impossible riddle... :rolleyes:
 
  • #13
Orefa said:
...and bbarry9999 chuckled as he walked away, never to return after posting an impossible riddle... :rolleyes:

I ignore One-Posters.

They are a waste of time.

Sometimes it can be an interesting discussion though, like that 1=0.999... thread.
 
  • #14
12 is a name property.
11 is a name property.
the above two instances are properties of a common object.
 

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