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

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Question

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

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Solution

Let the common ratio between these numbers be x. Therefore, the numbers will be 5x and 3x respectively.

Difference between these numbers = 18

5x − 3x = 18

2x = 18

Dividing both sides by 2

`(2x)/2 = 18/2`

x = 9

First number = 5x = 5 × 9 = 45

Second number = 3x = 3 × 9 = 27

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