SOLUTION: In a certain fraction, the denominator is 4 less than the numerator. If 3 is added to both the numerator and the denominator, the resulting fraction is equivalent to 2. What was

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: In a certain fraction, the denominator is 4 less than the numerator. If 3 is added to both the numerator and the denominator, the resulting fraction is equivalent to 2. What was       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1068118: In a certain fraction, the denominator is 4 less than the numerator. If 3 is added to both the numerator and the denominator, the resulting fraction is equivalent to 2. What was the original fraction (not written in lowest terms?)
Found 2 solutions by Fombitz, Boreal:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The original fraction is n%2F%28n-4%29
So then,
%28n%2B3%29%2F%28n-4%2B3%29=2
%28n%2B3%29%2F%28n-1%29=2
n%2B3=2n-2
n=5
So the original fraction is,
5%2F%285-4%29=5%2F1

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
numerator is x
x/(x-4)
(x+3)/(x-1)=2; the x-1 is the original denominator of x-4 with 3 added
multiply by (x-1)
x+3=2x-2
x=5
original fraction was 5/1 ANSWER
the second fraction was 8/4=2