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11 November, 09:13

Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integers

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  1. 11 November, 10:15
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    n, n + 2, n + 4 - three consecutive odd integers

    the sum of the first and second is 31 less than 3 times the third:

    n + (n + 2) = 3 (n + 4) - 31 use distributive property

    n + n + 2 = (3) (n) + (3) (4) - 31

    2n + 2 = 3n + 12 - 31

    2n + 3 = 3n - 19 subtract 2 from both sides

    2n = 3n - 21 subtract 3n from both sides

    -n = - 21 change the signs

    n = 21

    n + 2 = 21 + 2 = 23

    n + 4 = 21 + 4 = 25

    Answer: 21, 23, 25
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