# SOLUTION: A mother is 30 years older than her daughter. Five years ago she was four times as old as her daughter. How old are they now?

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 Question 91662: A mother is 30 years older than her daughter. Five years ago she was four times as old as her daughter. How old are they now?Answer by ankor@dixie-net.com(15624)   (Show Source): You can put this solution on YOUR website!Write an equation representing each statement : "A mother is 30 years older than her daughter." M = D + 30 : "Five years ago she was four times as old as her daughter." (M-5) = 4(D-5) Simplify: M - 5 = 4D - 20 M = 4D - 20 + 5 M = 4D - 15 : How old are they now? 4D - 15 = M Substitute (D+30) for M in above equation, find D 4D - 15 = D + 30 4D - D = 30 + 15 3D = 45 D = 45/3 D = 15 yrs old is the daughter M = 15 + 30 = 45 yrs old is the mom ; Check solution using the statement: "Five years ago she was four times as old as her daughter." 45 - 5 = 4(15-5) : Did I make this understandable to you?