Question

40. If 1 is added to numerator and
it becomes
denominator, then it becomes 4/5
If 5 is subtracted to the numerator
and denominator, then it becomes 1/2
. What is the fraction ?
(a) 2/3
(b)7/8
(c)8/9
(d)4/3​

Answer 1

Answer:

let fraction is x/y

add 1numerater and denominator

x+1/y+1=4/5

5x+5=4y+4

5x_4y= -1 –equ. 1

now 5 is subtract numerator and denominator

x-5/y-5=1/2

2x-10=y-5

2x-y=5_equ.2

comparing equestion 1st and 2nd

5x-4y=-1

8x-4y=20

add both

-3x=-21

x=7

put this value in equ. 1

5(7)-4y=-1

35-4y=-1

-4y=-1-35

-4y=-36

y=9

therefore fraction is 7/9