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Math Help - Find the integers????

  1. #1
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    Find the integers????

    the product of two consecutive integers is 10 less than four times their sum. find the integers.


    the answer in my handout says 1 and 2 or 6 and 7.



    How do i figure this out?

    Step by step?

    thank you.
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  2. #2
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    Re: Find the integers????

    let the two consecutive integers be n and n+1.

    The produst is n(n+1) and the sum is n+(n+1)

    Now piece it together.
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  3. #3
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    Re: Find the integers????

    First Step - Before Posting, decide how much of your own work you are planning to show.

    Name Stuff!!!

    A = First Integer, the least of the two.
    B = Next Integer greater than A. Hey, we don't need B, since B = A+1

    Now Translate

    "the product of two consecutive integers"

    A*B or A*(A+1)

    "10 less than four times their sum"

    4*(A+B)-10

    Stare at those until the translation soaks in. You will see it.

    Now what?
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