# SOLUTION: Ryan is 4 years younger than Michael. The product of their ages is 1020 years. What are both ages?

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 Question 534449: Ryan is 4 years younger than Michael. The product of their ages is 1020 years. What are both ages? Answer by fcabanski(874)   (Show Source): You can put this solution on YOUR website!Check my profile and contact me for one on one online tutoring. Michael is X years old. Ryan is X-4 years old. The product of their ages is 1020: x(x-4)=1020 multiply both terms inside () by x: x^2-4x=1020 (subtract 1020 from both sides): x^2 - 4x -1020 =0 (factor with reverse foil) (x + 30)(x - 34) (set each = 0 and solve): x+30=0 ---> x=-30 age can't be negative, so this isn't the answer. x-34=0 ---> x=34