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The denominator of a fraction is 1 more then twice its numerator. if the numerator and denominator are both increased by 5, it becomes 3/5 . find the original fraction ​

Answer» <html><body><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p>Let,</p><p>• The numerator of a fraction = x</p><p>• The denominator of a fraction = 2x + 1</p><p></p><p>★ If the numerator and denominator are both increased by 5, it becomes 3/5</p><p></p><p>• The numerator of a fraction = <strong>x + 5</strong></p><p>• The denominator of a fraction = 2x + 1 + 5 </p><p>= <strong>2x + <a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a></strong></p><p></p><p>★ <strong><u>According to the Question</u> :</strong></p><p>⇒ <img align="absmiddle" alt="\dfrac{(x \: + \: 5) }{(2x \: + 6)} \: = \: \dfrac{3}{5}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%20%5Cdfrac%7B%28x%20%5C%3A%20%20%2B%20%20%5C%3A%205%29%20%7D%7B%282x%20%5C%3A%20%20%2B%206%29%7D%20%20%5C%3A%20%20%3D%20%20%5C%3A%20%20%5Cdfrac%7B3%7D%7B5%7D%20" title="\dfrac{(x \: + \: 5) }{(2x \: + 6)} \: = \: \dfrac{3}{5}"/></p><p>⇒ 5 (x + 5) = 3 (2x + 6)</p><p>⇒ <a href="https://interviewquestions.tuteehub.com/tag/5x-326794" style="font-weight:bold;" target="_blank" title="Click to know more about 5X">5X</a> + 25 = 6x + 18</p><p>⇒ 5x - 6x = 18 - 25</p><p>⇒ - x = - 7</p><p>⇒ <strong>x = 7</strong></p><p></p><p><strong>The numerator of a fraction = 7</strong></p><p></p><p>The denominator of a fraction = 2x + 1</p><p>⇒ <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> (7) + 1</p><p>⇒ 14 + 1</p><p>⇒ 15</p><p><strong>The denominator of a fraction = 15</strong></p><p> </p><p>Therefore, <strong>The original fraction is</strong> <img align="absmiddle" alt="\dfrac{7}{15}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%20%5Cdfrac%7B7%7D%7B15%7D%20" title="\dfrac{7}{15}"/></p></body></html>


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