SOLUTION: Nona is one-third as old as her mother. Five years ago, she was only one-fifth of the age of her mother. How old is nona?

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Question 475810: Nona is one-third as old as her mother. Five years ago, she was only one-fifth of the age of her mother. How old is nona?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Nona is one-third as old as her mother.
n = 1%2F3m
multiply both sides by 3
3n = m
:
Five years ago, she was only one-fifth of the age of her mother.
n - 5 = 1%2F5(m-5)
multiply both sides by 5
5(n-5) = m - 5
5n - 25 = m - 5
5n = m - 5 + 25
5n = m + 20
replace m with 3n
5n = 3n + 20
5n - 3n = 20
2n = 20
n = 20%2F2
n = 10 yrs old is Nona's age