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March 27, 2017

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The product of 2 positive integers is 1000. What is the smallest possible sum of these 2 integers?

  • ALGEBRA. - ,

    possibilies
    1x1000
    2x500
    4x250
    5x200
    8x125
    10 x 100
    20x50
    25x40
    40x25 --- repeating from here on

    so the smallest possible sum of those factors
    = 25 + 40 = 65

    OR

    by the "Just Think About It" theorem, the two number would have to be as close as possible to each other, that is, near the √1000
    which is appr 31.6
    the closest number to 31.6 which divides evenly into 1000 is 25, so the other must be 40

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