Math

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The product of three whole numbers is 36. Five more than the sum of the three numbers is a perfect square. What is the sum of the numbers?

  • Math -

    abc=36
    The only factors of 36 are

    1,2,3,4,6,9,12,18,36

    The only sets of 3 factors are
    1,1,36 sum=38
    1,2,18 sum=21
    1,3,12 sum=16
    1,4,9 sum=14
    1,6,6 sum=13
    2,3,6 sum=11 + 5 = 16 we have a winner!
    3,3,4 sum=13

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