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7 June, 13:24

The sum of three consecutive even integers is less than 84. find the set of these three integers with the greatest sum.

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  1. 7 June, 15:24
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    Let the 3 numbers be x, x+2 and x+4, then

    x + x + 2 + x + 4 < 84

    3x + 6 < 84

    3x < 84-6

    3x < 78

    x < 26

    so highest possible value of x is 24 so lets add up the 3 numbers to

    check if the sum is < 84

    we have 24 + 26 + 28 = 78

    so answer is 24, 26 and 28.
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