Question

A fraction becomes 9/11 if 2 is added to both the numerator and denominator. If the denominator exceeds the numerator by 2 find the number

Answer 1

Answer:

the answer to your question will be 7/9

Answer 2

let fraction be

$\frac{x}{y}$

according to the question!!

$\frac{x + 2}{y + 2} = \frac{9}{11}$

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

11x+22=9y+18

11x-9y=18-22

11x-9y=-4.........................1️⃣

according to the question!!

y-x=2

y=2+x........................2️⃣

by putting the value of (y) from equation 2️⃣in equation1️⃣

11x-9y=-4

11x-9(2+x)=-4

11x-18-9x=-4

2x-18=-4

2x=-4+18

2x=14

$x = \frac{14}{2}$

x=7

Now ,by putting the value of (x) in equation. 2️⃣

y=2+x

y=2+7

y=9

thus fraction is

$\frac{x}{y} = \frac{7}{9}$

$\huge\red{\ddot\smile}$ hope it helps you ✔️ ✅$\huge\red{\ddot\smile}$