SOLUTION: Carla is four times her daughter's age. In 30 years, her daughter will be half as old as Carla. How old is Carla and her daughter now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Carla is four times her daughter's age. In 30 years, her daughter will be half as old as Carla. How old is Carla and her daughter now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 324027: Carla is four times her daughter's age. In 30 years, her daughter will be half as old as Carla. How old is Carla and her daughter now?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let C be Carla's age, D her daughter's.
1.C=4D
In 30 years,
2.%28D%2B30%29=%281%2F2%29%28C%2B30%29
Substitute eq. 1 into eq. 2,
2D%2B60=4D%2B30
2D=30
highlight%28D=15%29
.
.
.
highlight%28C=4%2815%29=60%29
.
.
.
The daughter is 15, Carla is 60 years old.