Question

The numerator of a fraction is 4 less than its denominator. if 2 is added to the denominator, the fraction becames 1by3.find the fraction

Answer 1

let the denominator =x
:numerator =x-4
now after adding 2 in denominator
denominator=x+2
so according to ques.
x-4/x+2=1/3
cross multiply
3x-12=x+2
2x=14
x=7
hence fraction is
7-4/7
3/7

Answer 2

Hi ,

Let the denominator = x

Numerator = x - 4

Fraction = ( x - 4 )/x

According to the problem given ,

( x - 4 )/( x + 2 ) = 1/3

3(x - 4 ) = 1 ( x + 2 )

3x - 12 = x + 2

3x - x = 2 + 12

2x = 14

x = 14/2

x = 7

Therefore ,

Required fraction = ( x - 4 )/x

= ( 7 - 4 )/7

= 3/7

I hope this helps you.

: )