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28 January, 11:49

What is a number between 364 and 384 that is a multiple of both 3 and 7

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  1. 28 January, 12:16
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    378

    Step-by-step explanation:

    It will also be a multiple of 21.

    As it is divisible by 3 the first possibility is 366 so:-

    364 + n = 21m

    where n = 2,5,8,11,14 ...

    Trying each number in turn we get:-

    364 + 14 = 21m

    21m = 378

    m = 18

    so the answer is 378
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