SOLUTION: The numerator of a certain fraction is 2 more than the denominator. If 3/5 is added to the fraction, the result is 2. Find the fraction.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The numerator of a certain fraction is 2 more than the denominator. If 3/5 is added to the fraction, the result is 2. Find the fraction.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1033308: The numerator of a certain fraction is 2 more than the denominator. If 3/5 is added to the fraction, the result is 2. Find the fraction.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the denominator x. The we can write
%28x%2B2%29%2Fx+%2B+3%2F5+=+2
Now multiply everything by 5x and solve for x...
5(x+2) + 3x = 10x
5x + 10 + 3x = 10x
8x + 10 = 10x
2x = 10
x = 5
x+2 = 7
So the original fraction is 7/5.