Question

The numerator and denominator of a rational number are in the ratio 3:4. If denominator is increased by 3, the ratio becomes 3:5.Find the rational number

Answer 1

$\begin{array}{|c|l|}\cline{1-2}&\\\textbf{Given}&\text{Numerator and denominator of a rational}\\&\text{number are in the ratio 3:4}\\&\text{when denominator is increased by 3,}\\&\text{the ratio becomes 3:5}\\&\\\cline{1-2}\end{array}$

$\begin{array}{|c|l|}\cline{1-2}&\\\textbf{To find}&\text{The rational number}\\&\\\cline{1-2}\end{array}$

$\begin{array}{|c|l|}\cline{1-2}&\\\textbf{Solution}&\text{Let the rational number be \dfrac{x}{y} }\\&\\&\text{As per given data,}\\&\\&x:y=3:4\\&\\&\text{Then,}\\&\\&x=3k,\;y=4k\\&\\&\text{when denominator increased by 3,}\\&\\&\dfrac{3k}{4k+3}=\dfrac{3}{5}\\&\\&5(3k)=3(4k+3)\\&\\&15k=12k+9\\&\\&15k-12k=9\\&\\&3k=9\\&\\&k=\dfrac{9}{3}=3\\&\\&\dfrac{x}{y}=\dfrac{3(3)}{4(3)}=\dfrac{9}{12}\\&\\\cline{1-2}\end{array}$

$\begin{array}{|c|l|}\cline{1-2}&\\\textbf{Answer}&\text{The required rational number is \bf\dfrac{9}{12} }\\&\\\cline{1-2}\end{array}$

Answer 2

Answer:

Sry, I Don't know

Step-by-step explanation:

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