Question

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

Answer 1

Answer:

let the fraction be= X/y

case 1:

X+2/y+2=9/11

11x+22=9y+18

11x-9y= -4

case 2:

X+3/y+3=5/6

6x+18=5y+15

6x-5y= -3

multiply by 5in equation.1 and by 9 in equation.2.

55x-45y=-20

54x-45y= -27

subtract equation .2from 1

X=7

Y=9.