Question

a fraction becomes9/11, if 2 is added to the both the numerator and the denominator . if 3 is addedto both the numerator and the denominator it becomes 5/6. find fraction?​

Answer 1

Answer:

Step-by-step explanation:

Let the fraction is x/y. Then by the given question,

(x+2)/(y+2)=9/11

11x+22=9y+18

11x-9y=18-22

11x-9y=-4

X=(9y-4)/11

(x+3)/(y+3)=5/6

6x+18=5y+15

6x-5y=15-18

6(9y-4)/11-5y=-3

(54y-24-55y)11=-3

-y-24=-3×11

y=33-24=9

x=(9×9-4)/11

x=77/11=7

∴, x=7,y=9 and the fraction is :7/9