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Math Help - solving systems word problem

  1. #1
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    solving systems word problem

    this question seems easy but i can't get it right.

    The sum of two numbers is 752, and their difference is 174. What are the two numbers?

    this is what i did:
    x+y=752
    x-y= 174

    from this i got x=454 and y=298

    the book says 463 and 298 are the solutions.
    is the book wrong cause i can't seem to get the 463?
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  2. #2
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    Quote Originally Posted by t-dot View Post
    this question seems easy but i can't get it right.

    The sum of two numbers is 752, and their difference is 174. What are the two numbers?

    this is what i did:
    x+y=752
    x-y= 174

    from this i got x=454 and y=298

    the book says 463 and 298 are the solutions.
    is the book wrong cause i can't seem to get the 463?
    ADD the two equations:
    x+y=752
    x-y= 174
    -----------
    2x = 926
    x = 463

    SUBTRACTION:
    When you SUBTRACT the two equations, y=289. maybe a typo in the book?
    Last edited by aidan; October 20th 2009 at 04:53 PM. Reason: added subtract note
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  3. #3
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    Quote Originally Posted by t-dot View Post
    this question seems easy but i can't get it right.

    The sum of two numbers is 752, and their difference is 174. What are the two numbers?

    this is what i did:
    x+y=752
    x-y= 174
    ---------- "add" the two equations ... the y terms add up to 0.
    2x = 926
    x = 463


    from this i got x=454 and y=298

    the book says 463 and 298 are the solutions.
    is the book wrong cause i can't seem to get the 463?
    ...
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  4. #4
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    oh man. thanks.
    that's weird how i didn't catch that.
    that's so easy.
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