Question

a fraction becomes 9 by 11 if 2 is added to both the numerator and the denominator if 3 is added to both the numerator and the denominator it becomes 5 by 6 find the fraction

Answer 1

hey that's the answer

Answer 2

Answer:

7/9

Step-by-step explanation:

Let the fraction be x/y

X+2/y+2=9/11

9y+18=11x+22

11x-9y=-4-------(1)

X+3/y+3=5/6

5y+15=6x+18

6x-5y=-3-----(2)

(1)=>x=-4+9y/11------(3)

(3) in (2)

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

(-24+54y/11)-5y=-3

-24+54y-55y/11=-3

-24-y=-33

-y=-9

Y=9

X=-4+9y/11

X=-4+9(9)/11

X=-4+81/11

X=77/11

X=7

Therefore the fraction is 7/9