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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