Question

9. The sum of numerator & denominator of a fraction is 13. If 3 is added to numerator & 5 to denominator, the fraction becomes 1/2. Find the fraction.

Answer 1

Answer:

fraction is 4/9

Step-by-step explanation:

let the fraction = x/y

A.T.Q

x + y = 13 -------------(1)

(x+3)/(y+5) = 1/2

2(x + 3) = 1(y + 5)

2x + 6 = y + 5

2x - y = 5 - 6

2x - y = -1 -----------(2)

on adding eq 1 and 2

x + y = 13

2x - y = - 1

3x = 12

x = 12/3

x = 4

put x in eq 1

x + y = 13

4 + y = 13

y = 13 - 4

y = 9

fraction is x/y = 4/9