SOLUTION: The denominator of a fraction is 4 more than the numerator. If 3 is added to both the numerator and the denominator, we obtain 1/2. What is the value of the original fraction?

Question 217953: The denominator of a fraction is 4 more than the numerator. If 3 is added to both the numerator and the denominator, we obtain 1/2. What is the value of the original fraction?
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Let n= numerator
.
fraction originally = n/n+4
.
adding 3 to both num and den = (n+3)/(n+4+3) = (n+3)/(n+7)
.
setting this equal to 1/2
.
(n+3)/(n+7) = 1/2,,,,,,cross multiply
.
2(n+3) =1(n+7)
.
2n+6 = n+7
.
n=1,,,,numerator
.
denominator = n+4 = 5
.
original fraction = 1/5,,,,,,,,,answer
.
.
check,,1/5,,,,(1+3)/(5+3) = 4/8 = 1/2 ,,,,,ok
.

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