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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