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28 October, 17:15

The sum of three consecutive multiples of 7 is 357. find the smallest multiple.

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  1. 28 October, 17:17
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    112, 119 and 126.

    Step-by-step explanation:

    Let the consecutive multiples of 7 be 7n, 7 (n+1) and 7 (n+2) where n is an integer, then:-

    7n + 7n + 7 + 7n + 14 = 357

    21n + 21 = 357

    21 (n + 1) = 357

    n = (357/21) - 1

    n = 17 + 1 = 16.

    So the numbers are 7*16 = 112, 7*17 = 119 and 7*18 = 126.
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