SOLUTION: The ages of two brothers are 11 and 8 years. In how many years' time will the product of their ages be 208?

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Question 315785: The ages of two brothers are 11 and 8 years. In how many years' time will the product of their ages be 208?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Add 'x' years to both ages to get 11%2Bx and 8%2Bx years. Multiply them and set them equal to 208 to get %2811%2Bx%29%288%2Bx%29=208. From here, FOIL out the left side and subtract 208 from both sides to get everything to one side. After combining like terms and simplifying, use the quadratic formula to solve for 'x' (note: ignore any negative solutions)