Question

The numerator of rational number is 3 less than its denominator. If the numerator is increased by what and the demonator is increases by 3, then number becomes 1 / 2 find the rational number.​

Answer 1

Correct question :-

The numerator of rational number is 3 less than its denominator. Of the numerator is increased by what and the denominator is increased by 1 and the denominator is increases by 3 then number becomes 1/2 find the rational number.

Solution :-

Here, Let the numberator be x - 3

Let the denominator be x

Now,

According to the question,

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

x - 3 + 1 / x + 3 = 1/2

x - 2 / x + 3 = 1/2

Now, By cross multiply

2( x - 2 ) = x + 3

2x - 4 = x + 3

2x - x = 3 + 4

x = 7

Hence, The denominator is 7

The numerator is 7 - 3 = 4 $.$

Hence, The fraction is 4/7 .

Answer 2

$\huge\fcolorbox{black}{lime}{Answer}$

Correct question :-

The numerator of rational number is 3 less than its denominator. Of the numerator is increased by what and the denominator is increased by 1 and the denominator is increases by 3 then number becomes 1/2 find the rational number.

Solution :-

Here, Let the numberator be x - 3

Let the denominator be x

Now,

According to the question,

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

x - 3 + 1 / x + 3 = 1/2

x - 2 / x + 3 = 1/2

Now, By cross multiply

2( x - 2 ) = x + 3

2x - 4 = x + 3

2x - x = 3 + 4

x = 7

Hence, The denominator is 7

The numerator is 7 - 3 = 4 ..

Hence, The fraction is 4/7 .