SOLUTION: If the ratio of(2x-y)to(x+y)is 2:3what is the ratio of x to y

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Question 1202702: If the ratio of(2x-y)to(x+y)is 2:3what is the ratio of x to y
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If the ratio of(2x-y)to(x+y)is 2:3 what is the ratio of x to y
we can write it:
%28%282x-y%29%29%2F%28%28x%2By%29%29 = 2%2F3
cross multiply
3(2x-y) = 2(x+y)
distribute
6x - 3y = 2x + 2y
6x - 2x = 2y + 3y
4x = 5y
x = 5%2F4y
divide both sides by y
x%2Fy = 5%2F4
The ratio of x:y = 5:4