Question

If the numerator of a fraction is increased by two
and the denominator by one, the fraction becomes
13/15. If the numerator and the denominator are
each decreased by four, the fraction becomes 4/5.
Find the fraction.
​

Answer 1

Step-by-step explanation:

let fraction be =1/x

numerator increased by 2=1+2

Denominator by 1=x+1

= 1+2/x+1 =13/15

if both decreased by 4

=1-4/x-4=4/5

we get answer if we slove both equations

Answer 2

Step-by-step explanation:

Let the fraction be x/y

therefore x+2/y+1 =13/15

15x + 30 = 13y +13

15x-13y + 17 = 0........(1)

also x-4/y-4 =4/5

5x- 20 = 4y - 16

5x- 4y = 4

on solving the equations we get y=29 and x = 24

therefore fraction is 24/29