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.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 2

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.

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