Question

19. The sum of the numerator and denominator of a fraction is 8. If 3 is
added to both of the numerator and the denominator, the fraction
3/4

[CBSE 2003]
becomes. Find the fraction.​

Answer 1

Answer:

7/9

Step-by-step explanation:

Let numerator be x and denominator be y

Then Acoording To Question:

x+y=8

(x+3)/(y+3)=3/4

=>y=8-x

(x+3)/(8-x+3) = 3/4

(x+3)/(11-x)=3/4

=>x+3+x-11=3-4

2x-8=-1

2x=7

x=7/2

y=9/2

Hence fraction is x/y=(7/2)/(9/2)

=7/9