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13 February, 10:41

The product of three consecutive numbers is 990. What is the sum you f the 3 whole numbers?

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  1. 13 February, 10:58
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    20

    Step-by-step explanation:

    If the three numbers are x, x+1, and x+2, then:

    x (x+1) (x+2) = 990

    x (x² + 3x + 2) = 990

    x³ + 3x² + 2x - 990 = 0

    (x - 9) (x² + 12x + 110) = 0

    Since x must be a whole number, x = 9. You can also use simple trial and error to find that the three numbers are 9, 10, 11.

    The sum is:

    9 + 10 + 11 = 20
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