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5 September, 10:16

Find three positive consecutive integers such that the product of the first and second is 2 more than 9 times the third

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Answers (2)
  1. 5 September, 11:25
    0
    Three positive consecutive integers are n, n+1, and n+2. And these integers satisfy:

    n (n+1) = 9 (n+2) + 2 expanding each side gives you:

    n^2+n=9n+18+2

    n^2+n=9n+20 subtract 9n from both sides

    n^2-8n=20 subtract 20 from both sides

    n^2-8n-20=0 now factor

    n^2+2n-10n-20=0

    n (n+2) - 10 (n+2) = 0

    (n-10) (n+2) = 0, since we only want positive integers

    n=10

    So the three integers are 10, 11, 12
  2. 5 September, 14:00
    0
    10, 11, and 12 would be ur answer.
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