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Hat #11 (Posted on 2016-07-27) Difficulty: 3 of 5
Three logicians, A, B, and C were each wearing a hat displaying a positive integer, - the number visible only to the participants not wearing the corresponding hat.
They were told the number on one of the hats is the sum of the other two.

After a statement by A that he does not know his number, B declared that he is wearing a hat with number 15 - and indeed he was right.

a. What were the other 2 numbers and what reasoning was applied?
b. What triplets of numbers make such discovery possible?

  Submitted by Ady TZIDON    
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Solution: (Hide)
a. 10 & 5
b. (n,n,2n) & (n,3n,2n)<>br Why -see both Armando's posts.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Solution?armando2016-07-28 04:22:30
Questionre: Solution?Ady TZIDON2016-07-27 16:33:19
Solution?armando2016-07-27 14:37:43
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