Question

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

Answer 1

Answer:

x/y =7/9

Step-by-step explanation:

hope it's helpful.

Answer 2

HEYA!!

let the fraction be =

$\frac{x}{y}$

according to question

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

---------1

now

$\frac{x + 3}{y + 3} = \frac{5}{6}$

---------2

on solving further equation 1st we get

$11(x + 2) = 9(y + 2) \\ 11x + 22 = 9y + 18 \\ 11x - 9y + 4 = 0$

------3

on sloving further equation 2nd we get

$6(x + 3) = 5(x + 3) \\ 6x + 18 = 5y + 15 \\ 6x - 5y + 3 = 0$

------4

by elimination method in equation 3 and 4 we get the value of x and y

$5(11x - 9y + 4 = 0) \\ 9(6x - 5y + 3 = 0)$

$55x - 45y +20 = 0 \\ 54x - 45y + 27 = 0$

on changing the sign and elimination we get

$- x = - 7 \\ x = 7$

on putting the value of x in any of the above equation we get

$y = \frac{7}{3}$

so the fraction will be:

x/y=7/9

☺FOLLOW ME☺

☆MARK IT AS A BRAINLIEST☆