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the sum of two positive integers is 60, and their positive difference is 26. what is the positive difference between the squares of the two integers?

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  1. larger ---- x
    smaller ---- y

    x+y = 60
    x-y = 26
    add them
    2x = 86
    x=43
    43+y = 60
    y = 17

    difference between their squares
    = 43^2 - 17^2 = 1560

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