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5 September, 23:56

Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number.

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  1. 6 September, 00:10
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    17, 19, 21

    Step-by-step explanation:

    If we denote the smallest number as x, then the middle number will be x + 2 and the largest number will be x + 2 + 2.

    The equation is:

    x + (x + 2) = 3 * (x + 2 + 2) - 27

    2x + 2 = 3x + 12 - 27

    2x - 3x = 12 - 27 - 2

    -x = - 17

    x = 17

    The numbers are: 17, 19, 21

    Let's check to be sure:

    17 + 19 = 36

    3 * 21 - 27 = 63 - 27 = 36
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