Question

If 2 of a number is equal to 3 of another number, then the ratio of the numbers is:
O 3:2
O 2:3
O 1:1
5:3​

Answer 1

Answer:

(c) 1:1 is the correct ratio of numbers

Answer 2

Answer:

We should find which option is correct for the given question using the ratio concept.

Final Answer: Option a: $3:2$

Ratio of the numbers $x$ and $y$ is $3:2$        

Step-by-step explanation:

Given:

• 2 of a number which means that a number which is multiply by 2.
• Let a number be $x$. So that 2 of a number should be written as,

              2 of a number $=2x$

• 3 of another number means that the another number should multiply by 3.
• Let the another number be $y$. So that 3 of a number should be written as,

             3 of a number $=3y$

• 2 of a number is equal to 3 of another number should be written as,

                                $2x=3y$   ----------------(1)

To find: Ratio of the number($x$) and another number($y$)

Solution:

• Ratio: "Ratio concept is used to compare two numbers, which is denoted by dividing them.
• Formula for ratio: $\frac{A}{B}=A:B$

Step 1:

• Now apply the ratio formula into the given question.
• So that equation(1) can be written as,

                  $2x=3y$

Step 2:

• We should arrange variables at the left side and the numbers at the right side.That is,

                    $\frac{x}{y}=\frac{3}{2}$

Step 3:

• Now step 2 answer should written in the form of ratio.That is,

                   $\frac{x}{y}=x:y$

                   $\frac{3}{2}=3:2$

Final Answer:

Ratio of the numbers $x$ and $y$ is $3:2$