Question

A fraction comes 9/11 if 2 is added to both numerator and the denminator it becomes 5/7 if 2 is subtracted from both numerator and denominator find the fraction

Answer 1

Answer:

y=9

x=7

Step-by-step explanation:

let numerator be x nd denominator be y .

then

x+2/y+2 =9/11

11x+22=9y+18

11x-9y=-4...............i

x-2/y-2=5/7

7x-14=5y-10

7x-5y=4...................ii

On multiplying eqñ I by 5 and eqn ii by 9....we get :-

55x-45y=-20..........iii

63x-45y=36............iv

on subtracting eqn.iii from iv we get

x=7

on putting x=7 we get :-

y=9