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Math Help - Algebra word problem (equation)

  1. #1
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    Algebra word problem (equation)

    I have been working on this problem for some 45 minutes and cannot come up with the answer Please help me?



    Algebra word problem (equation)-word-problem.jpg
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  2. #2
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    Awetuouncsygg
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    Re: Algebra word problem (equation)

    We need to find Darlene's age, let it be x. Also, let her sister age be y.
    Okay, now using x and y notations we write what we know:

    x=y-3 (Darlene is 3 years younger than her sister)
    x \cdot y=238 (the product of their ages is 238)


    x=y-3 \Rightarrow x+3=y
    x \cdot y=238 \Rightarrow x \cdot (x+3)=238 \Rightarrow x^2+3x=238

    The answer is B.
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