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Math Help - An A and B problem

  1. #1
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    An A and B problem

    A & B are two different numbers selected from the first forty counting numbers, 1 through 40 inclusive.

    What is the largest value that
    AxB
    A-B can have?

    Many thanks.
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  2. #2
    Senior Member vincisonfire's Avatar
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    You want the largest numerator and the smallest denominator.
    I would say  \frac{40 \cdot 39}{40-39}
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