SOLUTION: A mother is 25 years older than her daughter. Ten years ago, the daughter is 4/9 of the age of the mother was then. Find the age of each.

Question 154824: A mother is 25 years older than her daughter. Ten years ago, the daughter is 4/9 of the age of the mother was then. Find the age of each.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A mother is 25 years older than her daughter. Ten years ago, the daughter is 4/9 of the age of the mother was then. Find the age of each.
.
Let D = daughter's age
then
D+25 = Mother's age
(from:"A mother is 25 years older than her daughter.")
.
We derive our equation from:
"Ten years ago, the daughter is 4/9 of the age of the mother was then."
to get:
D-10 = (4/9)([D+25]-10)
D-10 = (4/9)(D+25-10)
D-10 = (4/9)(D+15)
9D-90 = (4)(D+15)
9D-90 = 4D+60
5D-90 = 60
5D = 150
D = 30 years (daughter's age)
.
D+25 = 30+25 = 55 years (Mothers age)

RELATED QUESTIONS
A mother is 25 years older than her daughter.Ten years ago,the daughter is 4/9 of the... (answered by josgarithmetic)

A mother is 20 years older then her daughter. A. If the daughter is y years old, how old (answered by ankor@dixie-net.com)

A mother is 20 years older then her daughter. A. If the daughter is y years old, how old (answered by addingup,MathTherapy)

10 years ago, Mona's mother was 4 times older than her daughter. After 10 years, the... (answered by ikleyn)

Ten years ago, the sum of the ages of a mother and her daughter was seventy years. This... (answered by josgarithmetic,MathTherapy)

A mother is 25 years older than her daughter. Five years ago, the daughter was half as... (answered by josmiceli)

A mother is 20 years older then her daughter. Ten years ago the mother was twice as old... (answered by Mr_Mathman,Maths68)

A mother is seven years older than twice the age of her... (answered by Alan3354)

10 years ago Ashraf's mother was four times older than her daughter. After 10 years, the... (answered by macston)