# SOLUTION: A mother is 25 years older than her daughter. Ten years ago, the daughter is 4/9 of the age of the mother was then. Find the age of each.

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 Click here to see ALL problems on Age Word Problems Question 154824: A mother is 25 years older than her daughter. Ten years ago, the daughter is 4/9 of the age of the mother was then. Find the age of each.Answer by nerdybill(7090)   (Show Source): You can put this solution on YOUR website!A mother is 25 years older than her daughter. Ten years ago, the daughter is 4/9 of the age of the mother was then. Find the age of each. . Let D = daughter's age then D+25 = Mother's age (from:"A mother is 25 years older than her daughter.") . We derive our equation from: "Ten years ago, the daughter is 4/9 of the age of the mother was then." to get: D-10 = (4/9)([D+25]-10) D-10 = (4/9)(D+25-10) D-10 = (4/9)(D+15) 9D-90 = (4)(D+15) 9D-90 = 4D+60 5D-90 = 60 5D = 150 D = 30 years (daughter's age) . D+25 = 30+25 = 55 years (Mothers age)