Question

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 15 . find the original number.
pls give proper working

Answer 1

Answer:

Let, the numerator of rational fraction be x

∴ the denomiantor =x+3

A.T.Q,

x+3+2

x−3

=

5

1

⟹

x+5

x−3

=

5

1

⟹5x−15=x+5

⟹5x−x=5+15

⟹4x=20

⟹x=

4

20

=5

∴ The original rational fraction is

5/ 5+3

5/8