SOLUTION: The denominator of a fraction is one more than the numerator. If the numerator is increased by three, the resulting fraction is one more than the original fractional. Find the orig

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The denominator of a fraction is one more than the numerator. If the numerator is increased by three, the resulting fraction is one more than the original fractional. Find the orig      Log On


   

Question 889947: The denominator of a fraction is one more than the numerator. If the numerator is increased by three, the resulting fraction is one more than the original fractional. Find the original fraction.
Answer by charu91(7) About Me  (Show Source):
You can put this solution on YOUR website!
let denominator be d and numerator be n.The fraction can be written as n/d.
Numerator is one more than denominator.
n/d = (d+1)/d
Numerator when added by 3,the fraction increases by 1.
(n+3)/d = (d+1+3)/d = (d+1)/d+1
= (d+4)/d = (d+1+d)/d
= (d+4)/d = (2d+1)/d
Cancelling d in denominator of both sides,we get
d+4 = 2d+1
2d-d = 4-1
d = 3
n = 4
The resulting fraction is 4/3.
Check:
(n+3)/d = (4+3)/3
= 7/3
n/d+1 = 4/3+1
= (4+3)/3
= 7/3