Question

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

Answer 1

Answer:

8/9

Step-by-step explanation:

5+3.

____

6+3

I f we add 5 and 3 answer will be 8

if we add 6 and 3 answer will be 9

Answer 2

Answer: fraction is 7/9

Step-by-step explanation:

Let numerator be x and denominator be y

A.T.P

x+2/y+2=9/11

11x+22=9y+18

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

x+3/y+3=5/6

6x+18=5y+15

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

By solving 1and2

11x-9y=-4 multiply it by 6

6x-5y=-3 multiply it by 11

66x-54y=-24

66x-55y=-33

Changing sign of equation 2 therefore

66x-54y=-24

-66x+55y=33

= y=9andx=7

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