The product of two 3-digit numbers is 28 749. The H.C.F. of these two numbers is 37. Find the difference of these two numbers.?

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  • fooks
    Lv 7
    1 月前

    The H.C.F. of the two numbers is 37.

    Then, let 37m be the greater number, and 37n be the smaller number.

    37m × 37n = 28749

    m × n = 21

    m × n = 7 × 3

    Then, m = 7 and n = 3

    The difference of these two numbers

    = 37 × 7 - 37 × 3

    = 259 - 111

    = 148

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