नशालु पदार्थ सेवनले वर्तमान युवावगमा पारेको नकरात्मक प्रभावबारे प्रकाश पाढेेेे एकहजारदेरिव बाह सय शब्दभित्र प्रतिवेदन तयार गार्नुहोस ?
Answers
Answer:
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Given
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Numerator and denominator of a rational
number are in the ratio 3:4
when denominator is increased by 3,
the ratio becomes 3:5
\begin{gathered}\begin{array}{|c|l|}\cline{1-2}&\\\textbf{To find}&\text{The rational number}\\&\\\cline{1-2}\end{array}\end{gathered}
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To find
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The rational number
\begin{gathered}\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}\end{gathered}
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Solution
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Let the rational number be
y
x
As per given data,
x:y=3:4
Then,
x=3k,y=4k
when denominator increased by 3,
4k+3
3k
=
5
3
5(3k)=3(4k+3)
15k=12k+9
15k−12k=9
3k=9
k=
3
9
=3
y
x
=
4(3)
3(3)
=
12
9
\begin{gathered}\begin{array}{|c|l|}\cline{1-2}&\\\textbf{Answer}&\text{The required rational number is $\bf\dfrac{9}{12}$}\\&\\\cline{1-2}\end{array}\end{gathered}
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Answer
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The required rational number is
12
9