Question

v) A fraction becomes 9upon11 , if 2 is added to both the numerator and denominator.
If, 3 is added to both the numerator and the denominator it becomes 5 upon6. find the
fraction.​

Answer 1

Answer:

Step-by-step explanation:

Let numerator be x and denominator be y.

If 2 is added to both numerator and denominator, the fraction becomes 9/11.

x+2/y+2 = 9/11

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

11x+22 = 9y+18

9y-11x = 22-18

9y - 11x = 4

9y = 4+11x

y = (4+11x)/9

If 3 is added to both numerator and denominator, the fraction becomes 5/6.

x+3/y+3 = 5/6

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

6x+18 = 5y+15

5y = 6x+18-15

5y = 6x+3

y = (6x+3)/5

(4+11x)/9 = (6x+3)/5

5(4+11x) = 9(6x+3)

20+55x = 54x + 27

55x-54x = 27-20

x = 7

y = (4+11(7))/9 = (4+77)/9 = 81/9 = 9

Therefore, x = 7 and y = 9

The fraction = 7/9

Hope it's help you