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Math Help - Sum of digits of page numbers

  1. #1
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    Sum of digits of page numbers

    Here's my question -

    Jim turned the pages of a book he was reading. Each page had a 3-digit number.

    The sum of the digits on page M was 6.
    The sum of the digits on page N was 7.

    What are the two possible page numbers?
    Last edited by Crayon; April 21st 2009 at 08:39 PM.
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  2. #2
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    Quote Originally Posted by Crayon View Post
    Here's my question -

    Jim turned the pages of a book he was reading. Each page had a 3-digit number.

    The sum of the digits on page M was 6.
    The sum of the digits on page N was 7.

    What are the two possible page numbers?
    There are many possible answers. eg M = 231 and N = 322.
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  3. #3
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    Hi hi, the answers given to me was M = 222 and N = 223, but i can't figure out how to derive these answers?
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    Quote Originally Posted by Crayon View Post
    Hi hi, the answers given to me was M = 222 and N = 223, but i can't figure out how to derive these answers?
    So the pages were meant to be consecutive ....?

    Get three digit numbers whose sum of digits is 6 and whose sum of digits is 7. Then choose the ones that fit the given criteria.
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  5. #5
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    Quote Originally Posted by mr fantastic View Post
    So the pages were meant to be consecutive ....?

    Get three digit numbers whose sum of digits is 6 and whose sum of digits is 7. Then choose the ones that fit the given criteria.
    erm..is there any shortcuts in getting the 3-digits # in order to fit the criteria? Thanks.
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