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?
:
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