MATH

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Three integers have a sum of 7 and a product of 0. If the difference of the greatest number and the least number is 11, then the least of these numbers is?

  • MATH -

    If they have a product of 0, then at least one of the numbers is 0.

    The greatest number cannot be 0, otherwise the sum would be negative.

    Now, let x = the greatest number
    x - 11 = the least number

    x + x - 11 + 0 = 7
    2x - 11 = 7
    2x = 18
    x = 9

    The least number is 9-11, or -2.

  • MATH -

    If their product is zero, then one of them had to be a zero
    so the 3 numbers can be called x,0, and y
    x+y+0 = 7 or
    x+y = 7 and
    x-y = 11

    adding them: 2x = 18
    x = 9
    if x=9 then y = -2

    the 3 numbers are -2,0, and 9

    check: is their sum = 7 ? YES
    is the largest - the smallest = 11 ? YES

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