Question

Two numbers are in the ratio 2:3. If 1 is added to smaller number and 4 is added to greater number, then ratio become 3:5. Find the numbers.​

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Answer 1

Given: Two numbers are in the ratio of 2: 3. & If 1 is added to smaller number and 4 is added to greater number, then ratio becomes 3: 5.

Need to find: The smaller and greater number?

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¤ Let's say, that smaller number be 2x and greater number be 3x respectively.

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$\underline{\bigstar\:{\color{yellow}{\pmb{\sf{According \;to\; the\;given\;Question :}}}}}$

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If 1 is added to smaller number and 4 is added to greater number, then ratio becomes 3: 5. Converting it into fraction —

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$\begin{gathered}\twoheadrightarrow\sf \bigg\{\dfrac{2x + 1}{3x + 4}\bigg\} =\bigg\{ \dfrac{3}{5}\bigg\} \\\\\\\twoheadrightarrow\sf 5\Big\{2x + 1\Big\} = 3\Big\{3x + 4\Big\} \\\\\\\twoheadrightarrow\sf 10x + 5 = 9x + 12 \\\\\\\twoheadrightarrow\sf 10x - 9x = 12 - 5 \\\\\\\twoheadrightarrow\underline{\boxed{\pmb{\frak{\purple{x = 7}}}}}\;\bigstar\end{gathered}$

Therefore,

Smaller number is, 2x = 2(7) = 14

Greater number is, 3x = 3(7) = 21

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$\therefore{\underline{\textsf{Hence, the smaller and greater number are \textbf{14} \sf{and} \textbf{21} \sf{respectively}.}}}$

Answer 2

Answer:

hi!bro sorry I don't know this answer...

really very sorry but thanks for pts.

Step-by-step explanation:

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