Question

1. The numerator of a fraction is 2 less than the denominator. If 3 is added to both the numerator and denominator the fraction becomes 3/ 4. Find the fraction.

Answer 1

Answer:

Given -

The numerator of a fraction is 2 less than the denominator.

3 is added to both the numerator and denominator the fraction becomes 3/4.

To find -

The fraction

Solution -

Let, The denominator is $x$ .

The numerator is $x-2$ .

As per the given information ,

3 is added to both the numerator and denominator the fraction becomes 3/4.

$\frac{x-2+3}{x+3} = \frac{3}{4}$

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

$4x+4=3x+9$

$4x+3x=9-4$

$7x=5$

$x=\frac{5}{7}$

$x=0.71$