Question

Q=> 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

HERE IS YOUR ANSWER MATE.....;

Let the fraction be x/y.

According to the question,

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

11x + 22 = 9y + 18

11x – 9y = -4 …………….. (1)

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

6x + 18 = 5y +15

6x – 5y = -3 ………………. (2)

From (1), we get

x = (-4 + 9y)/11 …………….. (3)

Substituting the value of x in (2), we get

6[(-4 + 9y)/11] – 5y = -3

-24 + 54y – 55y = -33

-y = -9

y = 9 ………………… (4)

Substituting the value of y in (3), we get

x = (-4 + 81)/11 = 77/11 = 7

Hence, the fraction is 7/9

Hope it's Helpful....:)

Answer 2

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