Question

The sum of numerator and denominator of a fraction is 4 more than the numerator if 3 is added to each of the numerator and denominator their ratio becomes 2:3 find the fraction.

Answer 1

Let numerator-x

Let denominator-y

Given-

1} x+y=4+x

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

From 1) y=4

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

(x+3)/(4+3)=2/3

(x+3)/7=2/3

(x+3)=14/3

x=14/3-3. (taking LCM)

x=(14-9)/3

x=5/3

Now,x=5/3

y=4

Fraction x/y= (5/3)/4

=5/12