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Cloud moderators

06/12/2017 at 14:00
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For how many three-digit positive integers is the sum of the digits of the integer equal to 9?




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  • ...
    Lê Quốc Trần Anh Coordinator 06/12/2017 at 16:36

    There are: \(9-1+1=9\left(numbers\right)\) from 100 to 199.

    There are: \(9-2+1=8\left(numbers\right)\) from 200 to 299.

    ................................................................

    There are: \(9-9+1=1\left(number\right)\) from 900 to 999.

    So there are total is: \(9+8+7+6+5+4+3+2+1=45\left(numbers\right)\)  satisfy the question.

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    Vũ Mạnh Hùng 06/12/2017 at 19:02

    there are:9-1+1=9(numbers)

    there are :9-2 +1=8(numbers)

    ................................................

    there are:9-9+1=1(number)

    the number of number have 3 digits can disivible by 3 is:

    9+8+7+6+5+4+3+2+1=45 (numbers)

    answer:45 numbers


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