Question

the denominator of a a rational number if greater than numerator by 3 . if 3 is is subtracted from numerator and and 2 is added to its denominator the new number becomes1/5. find the original number​

Answer 1

Step-by-step explanation:

Let the required number be x/y

.

Since denominator of the number is greater than its numerator by 3.

∴y=x+3.....(1)

Also, x−3/y+2=1/5

5(x−3)=y+2

5x−15=(x+3)+2

5x−15=x+5

5x−x=15+5

⇒x= 20/4 =5

Substituting the value of x in equation (1), we have

y=5+3=8

Therefore,

Required no. =

8/5

Answer 2

Answer:

Step-by-step explanation:

Let the required number be  

y

x

​  

.

Since denominator of the number is greater than its numerator by 3.

∴y=x+3.....(1)

Also,

y+2

x−3

​  

=  

5

1

​  

 

5(x−3)=y+2

5x−15=(x+3)+2

5x−15=x+5

5x−x=15+5

⇒x=  

4

20

​  

=5

Substituting the value of x in equation (1), we have

y=5+3=8

Therefore,

Required no. =  

8

5

​