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 1/5. Find the original number.Immersive Reader
(1 Point)

Answer 1

solution of the above question

Answer 2

Answer:

let the numerator be x and denominator be y

ATQ, x+3 = y -------1

$\frac{x - 3}{y + 2} = \frac{1}{5}$

On substituting eq1 in above equation

$\frac{x - 3}{x + 5} = \frac{1}{5}$

5x-15 = x+5

4x= 20

x = 5

y = 8