# Puzzles

## Hat check

Source: Futility Closet

Three logicians, A, B and C, are wearing hats. Each has a strictly positive integer written on it. The number on one of the hats is the sum of the numbers on the other two.

The logicians say:

A: I don't know the number on my hat.

B: The number on my hat is 15.

Which numbers are on hats A and C?

If you enjoyed this puzzle, check out Sunday Afternoon Maths LIV,

puzzles about logic, or a random puzzle.

puzzles about logic, or a random puzzle.