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.

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