SOLUTION: if the numerator of a certain fraction is increased by 6 and its denominator is decreased by 5, the resulting fraction is equal to 3/4. If the reciprocal of the original fraction

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: if the numerator of a certain fraction is increased by 6 and its denominator is decreased by 5, the resulting fraction is equal to 3/4. If the reciprocal of the original fraction      Log On


   

Question 833192: if the numerator of a certain fraction is increased by 6 and its denominator is decreased by 5, the resulting fraction is equal to 3/4.
If the reciprocal of the original fraction is decreased by 1 the resulting fraction is 16/9. find the original fraction.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(n+6)/(d-5)=3/4,
(d)/(n)-1=16/9
d = 25, n = 9
check
9+6/25-5=15/20=3/4
25/9-9/9=16/9
ok