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

**Solution:**

Let's form a linear equation for the given problem statement.

Two number are in ratio 5:3

Therefore, the numbers are 5x and 3x respectively.

The two numbers differ by 18

⇒ 5x - 3x = 18

⇒ 2x = 18

⇒ x = 9

First number is 5x = 5 × 9 = 45

Second number is 3x = 3 × 9 = 27

The numbers will be 45 and 27.

**Video Solution:**

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

### NCERT Solutions Class 8 Maths - Chapter 2 Exercise 2.2 Question 5

**Summary:**

If two numbers are in the ratio of 5:3 and they differ by 18, the numbers are 45 and 27.