SOLUTION: A fraction becomes 9/11 , if 2 is added to both thenumerator and denominator . If , 3 is added to both the numerator and denominator it becomes 5/6 . Find the fraction?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A fraction becomes 9/11 , if 2 is added to both thenumerator and denominator . If , 3 is added to both the numerator and denominator it becomes 5/6 . Find the fraction?      Log On


   

Question 639423: A fraction becomes 9/11 , if 2 is added to both thenumerator and denominator . If , 3 is added to both the numerator and denominator it becomes 5/6 . Find the fraction?
Answer by sachi(548) About Me  (Show Source):
You can put this solution on YOUR website!
let the fraction is x/y
then (x+2)/(y+2)=9/11
or 11x-9y=-4
or x=(9y-4)/11 ---1
& (x+3)/(y+3)=5/6
or 6x-5y=6 -----------2
from 1 & 2
6(9y-4)/11-5y=6
or (54-55)y=66+24=90
or y=-90
& x=-74 ans