Question

The numerator of a rational number is 3 less than its denominator. If the numerator is increased by 1 and the denominator is increased by 3, the number becomes1/2. Find the rational number.​

Answer 1

Answer:

Step-by-step explanation:

Let numerator be x

then according to condition

x/x+3 is a fraction.

If numerator is increased by 1 it becomes x+1

and denominator increased by 3 becomes x+6.

New fraction=x+1/x+6

x+1/x+6=1/2

=2(x+1)=1(x+6)

=2x+2=x+6

2x-x=6-2

x=4

Hence numerator is 4 and denominator is x+3=4+3=7

Answer 2

Answer:

Step-by-step explanation:

Let numerator be x

then according to condition

x/x+3 is a fraction.

If numerator is increased by 1 it becomes x+1

and denominator increased by 3 becomes x+6.

New fraction=x+1/x+6

x+1/x+6=1/2

=2(x+1)=1(x+6)

=2x+2=x+6

2x-x=6-2

x=4