Question

A fraction 9/11, if 2 is added to the both the numertor and denominotor if 3 is added to both the numertor and the denominotor it becomes 5/6 find the fraction

Answer 1

Here ia your solution.iT might help u

Answer 2

Step-by-step explanation:

let numerator be x

denominator be y

x+2/y+2=9/11

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

11x+22=9y+18

11x+22-18=9y

11x+4=9y

11x-9y=-4 [1 eq^n ]

x+3/y+3=5/6

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

6x+18=5y+15

6x+18-15=5y

6x+3=5y

6x-5y=-3 [2 eq^n]

on solving eq^n 1 and 2

11x-9y=-4 (×6)

6x-5y=-3 (×11)

66x-54y=-24

66x-55y=-33

-y=-9

y=9

putting the value of y in eq^n 1

11x-9y=-4

11x-9×9=-4

11x-81=-4

11x=-4+81

11x=7

x=7/11

required fraction =x/y=7/99