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Two numbers (Posted on 2002-10-15) Difficulty: 4 of 5

Alan and Bob are trying to figure out two numbers. They know that both numbers are integers between 1 and 100 (but not 1 or 100). Alan knows the product of the numbers, and Bob knows the sum. Their conversation goes as follows:

Alan: I can't tell what the two numbers are.
Bob: I knew you couldn't.
Alan: Ok, now I know the numbers.
Bob: Now I know them, too.

What are the two numbers?

See The Solution Submitted by Happy    
Rating: 3.8000 (15 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question Huh? | Comment 10 of 13 |
(In reply to re(2): guess by Cheradenine)

Now I'm confused.

You are the one that brought up the possibility that because the conjecture is unproved, there might be an even number which was not the sum of two primes, but now you say that for the given range it has been shown to be true. Then what was the point of the argument?
  Posted by TomM on 2002-10-16 07:46:04

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