Question

a fraction becomes 9/11 when 2 is added to both numerator and denominator it becomes 5/6 when 8 is added to both numerator and denominator find the fraction ​

Answer 1

Answer:

x/y=52/64

Step-by-step explanation:

Suppose, The fraction be x/y

1) When 2 is added to numerator and denominator, i.e

x+2/y+2 = 9/11 => 9y+18 = 11x+22

=>11x-9y+4=0 -------(1)

2)When 8 is added to numerator and denominator, i.e

x+8/y+8 = 5/6 => 6x+48 = 5y+40

=>6x-5y+8=0 -------(2)

Now, by solving (1) & (2)

x/y =52/64