SOLUTION: Danny was born exactly 4 years before Beth. The product of their age is 96. How old is Beth?

Question 1058403: Danny was born exactly 4 years before Beth. The product of their age is 96. How old is Beth?
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
Let x represent Beth's age.

Since Danny was born 4 years before Beth, his age is represented by x + 4.

And since the product of their ages is 96 you can write:

x(x + 4) = 96

x^2 + 4x = 96

x^2 + 4x - 96 = 0

(x + 12)(x - 8) = 0

x = -12, x = 8

Since Beth's age must be positive, the x = -12 solution is discarded.

Solution: Beth's age is 8.
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