SOLUTION: The numerator of a fraction is 6 less than the denominator. If both of these are increased by 4, the resulting fraction will be 5/7. What is the original fraction

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Question 806963: The numerator of a fraction is 6 less than the denominator. If both of these are increased by 4, the resulting fraction will be 5/7. What is the original fraction
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x/y

x = y - 6
(x + 4)/(y + 4) = 5/7

Substitute into the second equation.

(y - 2)/(y + 4) = 5/7
7(y-2) = 5(y+4)
7y - 14 = 5y + 20
2y = 34
y = 17

The original fraction is x/y = 11/17.