Tilted Forum Project Discussion Community - View Single Post - Three Hats--Another great math problem...

Giltwist · 04-22-2004, 01:40 PM

It doesn't really doesn't matter which of B and C have which number so I will just go in order. B's number is 1. Since this is the least natural number, it cannot be the sum of two other numbers. C's number is 49. Then, A's number is either 48 or 50. So, with even money odds, A decides to guess. A then correctly guesses 50.

Alternatively, both B and C are 25, and thus can't be the sum of the other two numbers unless A is 0, a contradiction. So A is 50.

04-22-2004, 01:40 PM	#2 (permalink)
Giltwist Insane Location: Pennsylvania	It doesn't really doesn't matter which of B and C have which number so I will just go in order. B's number is 1. Since this is the least natural number, it cannot be the sum of two other numbers. C's number is 49. Then, A's number is either 48 or 50. So, with even money odds, A decides to guess. A then correctly guesses 50. Alternatively, both B and C are 25, and thus can't be the sum of the other two numbers unless A is 0, a contradiction. So A is 50. Last edited by Giltwist; 04-22-2004 at 01:46 PM..