Tue 13 Mar 2012

## A hat puzzle

Posted by Happy under Fun, puzzle

Comments Off on A hat puzzle

This is a hat problem. The participants are supposed to be infinitely clever Mensa members, each wearing a hat bearing a number, such that they can see each other’s numbers but not their own. The hat numbers are integers, greater than zero. There are 3 participants (A, B and C, or Albert, Brian and Clarence if you prefer), and the number on one of the hats is the sum of the numbers on the other two. They take turns as follows:

A: I don’t know my number.

B: I don’t know my number.

C: I don’t know my number.

A: My number is 25.

What are the numbers on the other two hats?