SOLUTION: Find a fraction such that if 3 is added to both numerator and denominator is equal to 2/3. But if 7 is added to both its numerator and denominator, the fraction is equal to 3/4. (u

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Find a fraction such that if 3 is added to both numerator and denominator is equal to 2/3. But if 7 is added to both its numerator and denominator, the fraction is equal to 3/4. (u      Log On


   

Question 1148762: Find a fraction such that if 3 is added to both numerator and denominator is equal to 2/3. But if 7 is added to both its numerator and denominator, the fraction is equal to 3/4. (use x and y variables and show full solutions please, thanksss!)
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Let x = numerator
let y = denominator

(1) 3 added to both numerator and denominator makes the fraction 2/3:

%28x%2B3%29%2F%28y%2B3%29+=+2%2F3

(2) 7 added to both numerator and denominator makes the fraction 3/4:

%28x%2B7%29%2F%28y%2B7%29+=+3%2F4

That's two equations in x and y; solve them using basic algebra.

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