The denominator of a rational number is greater than its numerator by

1.	The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes 1 5 . Find the original number.
Answer» Answer: 5/8 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. = 5/8

The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes 1 5 . Find the original number.

Answer»

Answer:

5/8

Step-by-step explanation:

Let the required number be

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

∴y=x+3.....(1)

y+2

x−3

5(x−3)=y+2

5x−15=(x+3)+2

5x−15=x+5

5x−x=15+5

⇒x=

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

y=5+3=8

Therefore,

Required no. =

5/8