# SOLUTION: Mark is 60 years younger than Danielle. 3 years ago, Danielle's age was 4 times Mark's age. How old is Mark now?

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 Question 661568: Mark is 60 years younger than Danielle. 3 years ago, Danielle's age was 4 times Mark's age. How old is Mark now? Found 2 solutions by ReadingBoosters, MathTherapy:Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!x = mark y = danielle x = y - 60 4(x - 3) = y - 3 Substitution 4(y-60)-3 = y - 3 Distribute the 4 4y - 240 - 3 = y - 3 Combine like terms 3y = 240 y = 80 x=80-60=20 years old for Mark Answer by MathTherapy(1817)   (Show Source): You can put this solution on YOUR website!Mark is 60 years younger than Danielle. 3 years ago, Danielle's age was 4 times Mark's age. How old is Mark now? Let Danielle's current age be D, and Mark's, M Then: M = D - 60 ---- D = M + 60 ----- eq (i) Also, D - 3 = 4(M - 3) ---- D - 3 = 4M - 12 ---- D - 4M = - 9 ---- eq (ii) M + 60 - 4M = - 9 ------- Substituting M + 60 for D in eq (ii) - 3M = - 69 M, or Mark's current age = , or You can do the check!! Send comments and “thank-yous” to “D” at MathMadEzy@aol.com