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 the denominator the new number becomes 1/5. find the original number. check the solution.​

Answer 1

Step-by-step explanation:

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

Since, the denominator of the no. is greater than its numerator by 3,

∴$y=x+3$ ---------- (1)

Also,

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

$5(x-3)=y+2$

$5x-15=(x+3)+2$

$5x-x=15+5$

⇒$x=\frac{20}{4} =5$

Substituting the value of $x$ in equation (1),

$y=5+3=8$

∴Original no. = $\frac{5}{8}$

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Answer 2

Answer:

the answer is 5/11

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