Question

2 Two numbers are in the ratio 3: 5 and their difference is 22. Find the numbers​

Answer 1

Given :

• Ratio of the Two numbers is 3:5
• Difference between them is 22

To Find :

• Find the Numbers

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SolutioN :

☆ Let the Ratios :

• 1st Number = 3y
• 2nd Number = 5y

☆ Calculating the Value of y :

$\begin{gathered} \qquad :\longmapsto \; \; \sf { 2nd \; Number - 1st \; Number = 22 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\longmapsto \; \; \sf { 5y - 3y = 22 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\longmapsto \; \; \sf { 2y = 22 } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\longmapsto \; \; \sf { y = \dfrac{22}{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\longmapsto \; \; \sf { y = \cancel\dfrac{22}{2} } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\longmapsto \; \; {\underline{\boxed{\pmb{\frak{ y = 11 }}}}} \; {\orange{\pmb{\bigstar}}} \\ \\ \\ \end{gathered}$

☆ Calculating the Numbers :

• 1st No. = 3y = 3(11) = 33
• 2nd No. = 5y = 5(11) = 55

☆ Therefore :

The two numbers are 55 and 33 .

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