Question

The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2 : 3. Determine the fraction.

Answer 1

Answer:

let numerator = x and

denominator = y

A/Q

x+y = 2x+4

x = y-4

and

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

3x+9 = 2y+6

3(y-4)+9 = 2y+6

3y-12+9 = 2y+6

y = 9

now x = 9-4 = 5

the required fraction is 5/9