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Math Help - multiple of 11

  1. #1
    Newbie bilalrouf's Avatar
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    multiple of 11

    hellow

    some one has x pices of gold.he wants to distibute them in groups in such a way that each group contain equal number of pices.
    when he put 2 pices in each group 1 piece remained.same happened when he put 3,4,5,6,7,8,9,10.each time 1 piece is remained.

    But when he put 11 pieces in each group.no piece is remained.how many iron pieces are there???
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  2. #2
    Global Moderator

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    (HINT)

    Solve (by Chinese Remainder Theorem)

    x=1 (mod 2)
    x=1 (mod 3)
    x=1 (mod 5)
    x=1 (mod 7)

    And among those solutions find one that is divisible by 11.
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  3. #3
    Newbie bilalrouf's Avatar
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    Thumbs up thanks

    Thanks Perfecthacker .i solved it and it comes out 25201.
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