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28 September, 18:47

Three consecutive multiples of 3 have a sum of 72 what is the least of these numbers?

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  1. 28 September, 18:56
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    Three consecutive multiples of 3 are:

    3n, 3 (n+1), 3 (n+2)

    We are told that the sum of these multiples is 72 so:

    3n+3 (n+1) + 3 (n+2) = 72 divide both sides of the equation by 3

    n+n+1+n+2=24 combine like terms on the left side

    3n+3=24 subtract 3 from both sides

    3n=21 divide both sides by 3

    n=7

    Since the smallest number was 3n, the smallest number is 3 (7) = 21

    So the smallest number is 21.

    (the numbers are 21, 24, 27)
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