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. The original number is​

Answer 1

Answer:

The original number is​ $\frac{5}{8}$

Step-by-step explanation:

Let the required number be $\frac{x}{y}$

Since denominator of the number is greater than its numerator

$y=x+3-------(1)$

Also,

$\frac{x-3}{y+2} \frac{1}{5} \\ \\ 5(x-3)=y+2\\ \\ 5x-15=(x+3)+2\\ \\ 5x-15=x+5\\ \\ 5x-x=15+5\\ \\ 4x=20\\ \\ x=5$

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

$y=5+3=8$

Therefore required number is $\frac{5}{8}$