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Math Help - story problem

  1. #1
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    story problem

    A kid opens a math book to two facing pages. The product of the page number is 1482. Find the page numbers.

    I think the problem is set up like this, but not sure how to do it:

    x + (x+1)=1482
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  2. #2
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    Quote Originally Posted by bball20 View Post
    A kid opens a math book to two facing pages. The product of the page number is 1482. Find the page numbers.

    I think the problem is set up like this, but not sure how to do it:

    x + (x+1)=1482
    the word "product" indicates the operation of multiplication ...

    x(x+1) = 1482
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  3. #3
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    Quote Originally Posted by bball20 View Post
    A kid opens a math book to two facing pages. The product of the page number is 1482. Find the page numbers.

    I think the problem is set up like this, but not sure how to do it:

    x + (x+1)=1482
    Remember, a product is what you get when you MULTIPLY two numbers together.

    So it's actually

    x(x + 1) = 1482.
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  4. #4
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    x(x+1)=1482
    x^2 +1x-1482
    (x-38)(x+39)

    so the pages would be 38 and 39
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  5. #5
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    Quote Originally Posted by bball20 View Post
    x(x+1)=1482
    x^2 +1x-1482 = 0
    (x-38)(x+39) = 0
    x - 38 = 0 or x + 39 = 0
    x = 38 or x = -39

    so the pages would be 38 and 39
    Yes, x = 38 is the only solution you can accept since you can't have a negative number of pages.

    So the page numbers are x = 38 and x + 1 = 39.
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  6. #6
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    Thank you for your help!
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