SOLUTION: A certain fraction is equivalent to 2/3. If 3 is added to the numerator, and 1 is added to the denominator, the resulting fraction is equivalent to 3/4. What is the numerator of th
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Question 764783: A certain fraction is equivalent to 2/3. If 3 is added to the numerator, and 1 is added to the denominator, the resulting fraction is equivalent to 3/4. What is the numerator of the fraction?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A certain fraction is equivalent to 2/3. If 3 is added to the numerator, and 1 is added to the denominator, the resulting fraction is equivalent to 3/4. What is the numerator of the fraction?
***
let n=numerator
let d=denominator
..
n/d=2/3
3n=2d
3n-2d=0
..
(n+3)/(d+1)=3/4
4n+12=3d+3
4n-3d=-9
3n-2d=0
..
8n-6d=-18
9n-6d=0
subtract
-n=-18
n=18
2d=3n=54
d=27
..
numerator of the fraction=18
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