Question

A fraction becomes 3/4 if 1 is subtracted from both numerator and denominator if 3 is added to both numerator and denominator it becomes 5/6

Answer 1

Answer:

7/9

Step-by-step explanation:

let the fraction be x/y

x-2/y-1=3/5 ( given)

cross multiple

4x-4=3y-3

4x-3y=1 ( first equation)

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

cross multiple

6x+18=5y+15

6x-5y=(-3) (second equation)

multiple first equation by (-3) and second by (2)

-12x+9y=(-3) (third equation)

12x-10y=(-6) (fourth equation)

adding and subtracting equation third and fourth,we get

x=7 and y=9

hence the fraction is 7/9