SOLUTION: Mary is presently twice as old as Maggy. Ten years ago, Maggy's age was one-third of Mary's then. Ten years from now, Maggy's age will be three-fifths of Mary's age then. How old i

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Mary is presently twice as old as Maggy. Ten years ago, Maggy's age was one-third of Mary's then. Ten years from now, Maggy's age will be three-fifths of Mary's age then. How old i      Log On

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Question 323957: Mary is presently twice as old as Maggy. Ten years ago, Maggy's age was one-third of Mary's then. Ten years from now, Maggy's age will be three-fifths of Mary's age then. How old is each?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let Maggy's age = x
Mary's age = 2x
..
ten years later their ages will be
Maggie= x+10
Mary = 2x+10
..
x+10 = 3/5 (2x+10)
5(x+10)=3(2x+10)
5x+50=6x+30
6x-5x=50-30
x=20 years Maggie's age
Mary's age = 2x = 40 years