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Lê Quốc Trần Anh Coordinator

01/07/2018 at 03:34
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What is the smallest positive integer that has a remainder of 7 when divided by 8, a remainder of 8 when divided by 9 and a remainder of 11 when divided by 12?


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    Nguyễn Mạnh Hùng 01/07/2018 at 08:43

    Call the number is a, we have:

    a = 8k + 7

    a = 9k + 8

    a = 12k + 11

    => a + 1 \(⋮8;9;12\)

    and a is the smallest

    So a + 1 = 72

    => a = 71

    Lê Quốc Trần Anh selected this answer.


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