Question

A fraction becomes 4/5 if3 is added to both numerator and denominator .if 5 is added to the numerator and denominator it becomes 5/6 find fraction.

Answer 1

Answer:

let the numerator = x

let the denominator =y

A.T.Q

x+3/y+3=4/5

5x+15=4y+12

5x-4y=-3. equation 1

x+5/y+5=5/6

6x+30=5y+30

6x-5y=-5. equation 2

taking both equation

5x-4y=-3]×6

6x-5y=-5]×5

30x-24y=-18

30x-25y=-25

- +. +

y=7

put the value of y in 1equation

5x-4[7]=-3

5x=-3+28

5x=25

x=5

the fraction be 5/7