# The Difference Between Two Whole Numbers is 66 and the Ratio of the Two Numbers is 2:5. What are the Two Numbers?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The two numbers are 44 and 110

From the above question, we have to calculate the two numbers.

Given that the ratio of the numbers is 2:5.

If the first integer is 2x, the second integer must be 5x.

Also given that the difference between the whole numbers is 66.

The following equation can be used to determine that the difference between two whole numbers is 66:

5x-2x=66

By Solving the above obtained equation, we get

5x-2x=66⇒3x=66⇒x=22

substitute x=22 in 2x and 5x to calculate the integers:

2x=2×22⇒2x=44

and

5x=5×22⇒5x=110

Therefore, the integers are 44 and 110.

### Integers

In mathematics, an integer is a grouping of positive and negative numbers. Like whole numbers, integers do not include the fractional component. Therefore, numbers that can be positive, negative, or zero but are not fractions are said to be integers. All mathematical operations, such as addition, subtraction, multiplication, and division, can be performed on integers.

Summary:-

## The Difference Between Two Whole Numbers is 66 and the Ratio of the Two Numbers is 2:5. What are the Two Numbers?

The difference between two whole numbers is 66 and the ratio of the two numbers is 2:5. The two numbers are 44 and 110

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