# Two Numbers Are in the Ratio 5:3. If They Differ by 18, What Are the Numbers?

## Question: Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?

The given question can be simplified using the linear equations in one variable and the concept of ratios.

## Answer: Two numbers which are in the ratio 5:3 differing by 18 are 45 and 27.

Let's express the information in mathematical terms.

## Explanation:

Let the numbers be 5x and 3x respectively, as their ratio is 5:3.

They differ by 18.

⇒ 5x - 3x = 18

⇒ 2x = 18

⇒ x = 18/2

⇒ x = 9

⇒ 5x = 5(9) = 45

⇒ 3x = 3(9) = 27

### Thus, the numbers are 45 and 27, which are in the ratio 5:3. If they differ by 18.

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