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A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# 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.

**☛ Related Questions:**

- Three consecutive integers add up to 51. What are these integers?
- The sum of three consecutive multiples of 8 is 888. Find the multiples.
- Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
- The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

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