SOLUTION: The ages of A and B are in ration of 7:5, 10 year hence the ratof their ages will be 9:7, find their present ages

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Question 639043: The ages of A and B are in ration of 7:5, 10 year hence the ratof their ages will be 9:7, find their present ages
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The ages of A and B are in ratio of 7:5, 10 year hence the ratio of their
ages will be 9:7, find their present ages
:
The easy way to do this is by using a "multiplier"
let x = the multiplier
then
7x = A's present age
and
5x = B's present age
:
Adding 10 yrs to their age produces a ratio of 9:7, there
%28%287x%2B10%29%29%2F%28%285x%2B10%29%29 = 9%2F7
cross multiply
7(7x+10) = 9(5x+10)
49x + 70 = 45x + 90
49x - 45x = 90 - 70
4x = 20
x = 20/4
x = 5 is the multiplier
:
Their present ages
A: 5(7) = 35 yrs
B: 5(5) = 25 yrs
:
:
You can check this for yourself, add 10 yrs to their ages and find the ratio