Question

a fraction becomes 9/11 if 2 is added to the both numerator and the denominator if 3 is added to both numerator and the denominator it becomes five divided by 6 find the fraction

Answer 1

x+2/y+2=9/11.............(1)

x+3/y+3=5/6................(2)

from 1

by cross multiplication method

11x+22=9y+18

11x-9y=-4............(3)*6

from 2

6x-5y=-3.........(4)*11

from 3 and 4

66x-54y=-24

66x-55y=-33

y=9

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