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23 September, 18:09

Find the lesser of two consecutive integers with a sum greater than 15

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  1. 23 September, 21:03
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    Let n and n+1 be two consecutive integers. Their sum is n+n+1=2n+1.

    Then if a sum is greater than 15, then

    2n+1>15,

    2n>15-1,

    2n>14,

    n>7.

    The smallest n, such that n>7 is n=8, then n+1=9.

    Answer: 8, 9.
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