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13 November, 18:38

The product of two consecutive numbers is 14 less than 10 times the smaller number. find each number

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  1. 13 November, 20:45
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    The consecutive numbers are either 2 and 3, or 7 and 8 ...

    x (x+1) = x^2 + x

    x^2 + x = 10x-14

    quadratic form of x^2 + x = 10x-14:

    x^2 - 9x + 14 = 0

    (x-2) (x-7) = 0

    x = 2, 7

    so 2 and 3, or 7 and 8 are the answers
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