Question

The denominator of a rational no. is greater than its numerator by 3. if 3 is subtracted from the numerator and 2 is added to the denominator, the new no. becomes 1/5​

Answer 1

$\huge\underline{\underline{\bf\bigstar ANSWER\bigstar}}$

Let the numerator be x and the denominator be ( x + 3 ) .

According to the question

       

      $\sf\dfrac{x-3}{x+3+2}=\dfrac{1}{5}$

 

    $\hookrightarrow \dfrac{x-3}{x+5}=\dfrac{1}{5}\\\\\hookrightarrow\sf 5(x-3)=x+5 \\\\\hookrightarrow 5x-15 = x+5 \\\\\hookrightarrow 5x-x = 15+5 \\\\\hookrightarrow 4x = 20\\\\\hookrightarrow \bf x = 5$

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        $\bf \underline{\underline{FRACTION=\dfrac{5}{8}}}$

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