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

rsl12 · 04-22-2004, 01:20 PM

This one is from my alumni magazine:

Three logical people--A, B, and C--are wearing hats with positive integers painted on them. Each person sees the other two numbers, but not his own. Each person knows that the numbers are positive integers and that one of them is the sum of the other two. A, B, and C take turns in a contest to see who can be the first to determine his number. In the first round, A, B, and C all pass, but in the second round, A correctly asserts that his number is 50. What are the other two numbers, and how did A figure it out?

04-22-2004, 01:20 PM	#1 (permalink)
rsl12 On the lam Location: northern va	Three Hats--Another great math problem... This one is from my alumni magazine: Three logical people--A, B, and C--are wearing hats with positive integers painted on them. Each person sees the other two numbers, but not his own. Each person knows that the numbers are positive integers and that one of them is the sum of the other two. A, B, and C take turns in a contest to see who can be the first to determine his number. In the first round, A, B, and C all pass, but in the second round, A correctly asserts that his number is 50. What are the other two numbers, and how did A figure it out? __________________ oh baby oh baby, i like gravy.