SOLUTION: A woman is three times as old as her daughter. In eleven years she will be twice as old as her daughter. Write an equation representing this information and solve it to find the da

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: A woman is three times as old as her daughter. In eleven years she will be twice as old as her daughter. Write an equation representing this information and solve it to find the da      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 709385: A woman is three times as old as her daughter. In eleven years she will be twice as old as her daughter. Write an equation representing this information and solve it to find the daughter's present age.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w age of woman.
d age of daughter.

Now, w=3d
In eleven more years, w%2B11=2%28d%2B11%29
Find daugher's present age.

Substitute w from the first equation into the second equation.
()+11=2(d+11)
(3d)+11=2(d+11)
3d+11=2d+22
3d-2d+11=22
3d-2d=22-11
d=11, daughter is eleven years old now.