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28 September, 17:42

Find the greatest of four consecutive integers if when the least integer is decreased by twice the greatest integer the result is 14.

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  1. 28 September, 17:58
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    Let n = 1st integer (least)

    n + 1 = 2nd integer

    n + 2 = 3rd integer

    n + 3 = 3rd integer (greatest)

    n - 2 (n + 3) = 14

    n - 2n - 6 = 14

    -n - 6 = 14

    -n - 6 + 6 = 14 + 6

    -n = 20

    n = - 20

    n + 1 = - 19

    n + 2 = - 18

    n + 3 = - 17
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