SOLUTION: In four years a mother will be five times as old as her daughter. At present the mother is nine times as old as the daughter. How old are the mother and daughter today?

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Question 691854: In four years a mother will be five times as old as her daughter. At present the mother is nine times as old as the daughter. How old are the mother and daughter today?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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In four years a mother will be five times as old as her daughter.
At present the mother is nine times as old as the daughter. How old are the mother and daughter today?
:
Let m = Mom's age
Let d = Daughter's age
:
Write an equation for each statement.
:
" In four years a mother will be five times as old as her daughter."
m + 4 = 5(d+4)
m + 4 = 5d + 20
m = 5d + 20 - 4
m = 5d + 16
:
" At present the mother is nine times as old as the daughter.'
m = 9d
:
Replace m with 9d in the 1st equation
9d = 5d + 16
9d - 5d = 16
4d = 16
d = 4 yrs is the daughter
then
9(4) = 36 yrs is Mom