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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?

See The Solution Submitted by Ady TZIDON    
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Question re: Solution? | Comment 2 of 3 |
(In reply to Solution? by armando)

a. ok

What is your answer to b. ?

  Posted by Ady TZIDON on 2016-07-27 16:33:19
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