Algebra word problem (equation)

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• January 5th 2013, 04:38 AM
adamk
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?

Attachment 26478
• January 5th 2013, 05:44 AM
veileen
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.