SOLUTION: Grazielle is twice as old as Eric. After 8 years the product of their age is 384. How old is Eric?

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Question 1167897: Grazielle is twice as old as Eric. After 8 years the product of their age is 384. How old is Eric?
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
Eric's age = x
Grazille's age = 2x

(x + 8)(2x + 8) = 384

2x² + 24x + 64 = 384

2x² + 24x - 320 = 0

x² + 12x - 160 = 0

(x - 8)(x + 20) = 0

x = 8 and x = -20

Obviously, Eric's age cannot be a negative number, so we are left with x = 8.