SOLUTION: The sum of the ages of a woman and her daughter is 46 years. In 4 years time the ratio of their ages will be 7:2. Write two linear equations for the ages of the woman and daughter.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of the ages of a woman and her daughter is 46 years. In 4 years time the ratio of their ages will be 7:2. Write two linear equations for the ages of the woman and daughter.      Log On


   

Question 1137790: The sum of the ages of a woman and her daughter is 46 years. In 4 years time the ratio of their ages will be 7:2. Write two linear equations for the ages of the woman and daughter.
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the ages of a woman and her daughter is 46 years. In 4 years time the ratio of their ages will be 7:2. Write two linear equations for the ages of the woman and daughter.
-------------
W + D = 46 ------------ Eqn 1
(W+4)/(D+4) = 7/2
2(W+4) = 7(D+4) ------- Eqn 2

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let w be the age of the women and d be the age of her daughter
:
1) w + d = 46
:
2) (w+4)/(d+4) = 7/2
:
2(w+4) = 7(d+4)
:
2w+8 = 7d+28
:
2w = 7d+20
: