Archive for November, 2008

Sam and Polly and How I Know the Answer.

Sunday, November 23rd, 2008

So anyway, I’m too lazy to write an original post, so I’ll just copy a draft of my report that I turned in for this project.

The Problem:

An alien appears to two mathematicians, Sam and Polly.  The alien says, “I’m thinking of two numbers, X and Y with 3 <= X <= Y <= 97.  I will tell their sum to Sam and their product to Polly.”  The alien does this and then disappears.  The following conversation occurs:
Sam:  You don’t know what X and Y are.
Polly:  That’s true, but now I do.
Sam:  And now I do too.
Find X and Y.