# SOLUTION: A father is now twice as old as his daughter. 10 years ago he was 3 times as old as her. How old are they both now?

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 Question 406012: A father is now twice as old as his daughter. 10 years ago he was 3 times as old as her. How old are they both now?Answer by J2R2R(94)   (Show Source): You can put this solution on YOUR website!f is age of father; d is age of daughter Now, f = 2d Ten years ago (f - 10) = 3(d - 10) Replacing f with 2d and expanding 2d - 10 = 3d - 30 20 = d f = 40 So the father is now twice the age of his daughter (40 = 2 x 20) Ten years ago the father was three times the age of his daughter (30 = 3 x 10) The answer is the father is now 40 years and the daughter is 20 years.