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Math Help - Puzzle

  1. #1
    Member Glaysher's Avatar
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    Puzzle

    Managed to solve this by hand but I think it was designed to be done by computer

    Two integers, m and n, each between 2 and 100 inclusive, have been chosen. The product, mn, is given to mathematician X. The sum, m + n, is given to mathematician Y. Their conversation is as follows:
    X: I don't have the foggiest idea what your sum is, Y.
    Y: That's no news to me, X. I already knew that you didn't
    know.
    X: Ahah, NOW I know what your sum must be, Y!
    Y: And likewise X, I have surmised your product !!

    Find the integers m and n.
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  2. #2
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    Four and thirteen
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  3. #3
    Newbie
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    Ok, I'm going to need to see this worked out. :P
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  4. #4
    Eater of Worlds
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    I've seen this before. Of course, it's more logic than actual math.

    Here's a link to a nice discussion on the matter:

    Math Forum - Ask Dr. Math
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