SOLUTION: The ages of A and B are in the ratio 4 : 3. In eight years time the ratio of their ages will be 9 : 7. Find their present ages. If n years ago, A was three times as old as B, fin

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The ages of A and B are in the ratio 4 : 3. In eight years time the ratio of their ages will be 9 : 7. Find their present ages. If n years ago, A was three times as old as B, fin      Log On


   

Question 1125999: The ages of A and B are in the ratio 4 : 3. In eight years time the ratio of
their ages will be 9 : 7. Find their present ages. If n years ago, A was three
times as old as B, find the value of n.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
----
The ages of A and B are in the ratio 4 : 3. In eight years time the ratio of
their ages will be 9 : 7. Find their present ages.
----

Now, age of A is 4x; age of B is 3x.

In 8 more years, %284x%2B8%29%2F%283x%2B8%29=9%2F7
9%283x%2B8%29=7%284x%2B8%29
27x%2B72=28x%2B56
72-56=x
x=16

Ages NOW, should be
A, 4%2A16=highlight%2864%29
B, 3%2A16=highlight%2848%29