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Thread: Urgent Help!

  1. #1

    Thread Starter
    New Member
    Join Date
    Nov 2006
    Posts
    1

    Urgent Help!

    Hi, new to the forums and I am trying to resolve a dispute that has arrisen at work. Can anyone point me to the mathmatical proof for the following:

    If you:

    Take any two digit number (eg 38)

    sum the two digits from this number (3+8 = 11)

    Subtract the result from the origional number (38-11 = 27)

    The answer will always be a multiple of 9.

    Can someone show me why this is always the case?

    Much appreciated.

  2. #2
    Frenzied Member
    Join Date
    Oct 2003
    Posts
    1,301

    Re: Urgent Help!

    The multiple will always be the first digit.

    (10a+b) - (a+b) = 9x
    10a+b - a-b = 9x
    10a - a = 9x
    9a = 9x
    a = x

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