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Math Help - Division

  1. #1
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    Question Division

    How do I find the least no. that should be added to 2000 so that 35 divides the sum exactly?

    Thanks,

    Ron
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: Division

    Quote Originally Posted by rn5a View Post
    How do I find the least no. that should be added to 2000 so that 35 divides the sum exactly?

    Thanks,

    Ron
    Hint:

    1995:35=57
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  3. #3
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    Re: Division

    Hello, Ron!

    How do I find the least number that should be added to 2000
    so that 35 divides the sum exactly?

    Hint
    Spoiler:

    2000 \div 35 \:=\:57\text{, with a remainder of 5.}

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  4. #4
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    Re: Division

    If I understand correct.

    First you have to divide 2000 to 35 then you have to find the remaining quantity from that division which equals to 5 so you have to add (35-5=30) to 2000.
    Then you will find 2030. The next exact division of 35 to 2030 is 58.

    Normally if it wouldnt be 35 and would be such a number like 12 then the dividend had to have exact division to 6 because in 12, 2 and 3 factors are common.
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