Question

the denominator of a rational number is 4 more than its numerator. if 11 is added to numerator and 1 is subtracted from the denominator ,then the new number is 7/3 . find the original number.​

Answer 1

Answer:

Let the numerator be x.

Denominator =x+4

original number=x/x+4

According to question,

x+11/x+4-1=7/3

x+11/x+3=7/3

7(x+3)=3(x+11)

7x+21=3x+33

7x-3x=33-21

4x=8

x=8/4

x=2

Original number=2/6=1/3

Answer 2

Answer:

The original number=3/7

Step-by-step explanation:

Let's suppose that x is the numerator. Then,

Original number= x/4+x

Then, 11 is added and 1 is subtracted. So,

x+11/4+x-1=7/3

x+11/3+x=7/3

Cross multiply. Then,

21+7x=33+3x

7x-3x=33-21

4x=12

x=12/4

x=3.

Original number= x/4+x

=3/4+3

=3/7.