Calculating the Sum of the Remaining Two Numbers

Oct 13, 2025 by vinooalluri.com 118 views

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Introduction

In mathematics, the mean of a set of numbers is calculated by adding up all the numbers and then dividing by the total count of numbers. When we are given the mean of a set of numbers and one of the numbers, we can use this information to find the mean of the remaining numbers. In this article, we will explore how to find the mean of the remaining two numbers when one of the numbers is 8 and the mean of the three numbers is 12.

Understanding the Problem

Let's start by understanding the problem. We are given three numbers with a mean of 12. This means that the sum of the three numbers is 12 multiplied by 3, which is 36. We are also given that one of the numbers is 8. Our goal is to find the mean of the remaining two numbers.

Calculating the Sum of the Remaining Two Numbers

To find the mean of the remaining two numbers, we need to first calculate their sum. Since we know that the sum of all three numbers is 36 and one of the numbers is 8, we can subtract 8 from 36 to find the sum of the remaining two numbers.

36 (sum of all three numbers) - 8 (one of the numbers) = 28

So, the sum of the remaining two numbers is 28.

Finding the Mean of the Remaining Two Numbers

Now that we have the sum of the remaining two numbers, we can find their mean by dividing the sum by 2.

28 (sum of the remaining two numbers) ÷ 2 = 14

Therefore, the mean of the remaining two numbers is 14.

Conclusion

In this article, we learned how to find the mean of the remaining two numbers when one of the numbers is 8 and the mean of the three numbers is 12. We started by understanding the problem and then calculated the sum of the remaining two numbers. Finally, we found their mean by dividing the sum by 2. The mean of the remaining two numbers is 14.

Example Use Case

This problem can be applied to real-life scenarios where we need to find the mean of a set of numbers. For example, if we have a class of 3 students with an average score of 12, and one of the students scored 8, we can use this method to find the average score of the remaining two students.

Step-by-Step Solution

Here's a step-by-step solution to the problem:

Understand the problem: We are given three numbers with a mean of 12 and one of the numbers is 8.
Calculate the sum of all three numbers: The sum of all three numbers is 12 multiplied by 3, which is 36.
Subtract 8 from 36 to find the sum of the remaining two numbers: 36 - 8 = 28.
Divide the sum of the remaining two numbers by 2 to find their mean: 28 ÷ 2 = 14.

Frequently Asked Questions

Q: What is the mean of the remaining two numbers?

A: The mean of the remaining two numbers is 14.

Q: How do we find the mean of the remaining two numbers?

A: We find the mean of the remaining two numbers by subtracting one of the numbers from the sum of all three numbers and then dividing the result by 2.

Q: Can we apply this method to real-life scenarios?

A: Yes, this method can be applied to real-life scenarios where we need to find the mean of a set of numbers.

Conclusion

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Introduction

In our previous article, we explored how to find the mean of the remaining two numbers when one of the numbers is 8 and the mean of the three numbers is 12. In this article, we will answer some frequently asked questions related to this topic.

Q&A

Q: What is the formula to find the mean of the remaining two numbers?

A: The formula to find the mean of the remaining two numbers is:

Mean = (Sum of all three numbers - One of the numbers) / 2

Q: How do we find the sum of all three numbers?

A: The sum of all three numbers is found by multiplying the mean by 3.

Sum of all three numbers = Mean × 3

Q: Can we apply this method to find the mean of more than two numbers?

A: Yes, we can apply this method to find the mean of more than two numbers. However, we need to subtract the given numbers from the sum of all numbers and then divide the result by the number of remaining numbers.

Q: What if we are given two numbers and their mean, and we need to find the third number?

A: If we are given two numbers and their mean, and we need to find the third number, we can use the following formula:

Third number = (Mean × 3) - (Sum of the two given numbers)

Q: Can we use this method to find the mean of a set of numbers with decimals?

A: Yes, we can use this method to find the mean of a set of numbers with decimals. However, we need to make sure that we are performing the calculations correctly to avoid any errors.

Q: What if we are given a set of numbers and we need to find the mean of a subset of those numbers?

A: If we are given a set of numbers and we need to find the mean of a subset of those numbers, we can use the following formula:

Mean of the subset = (Sum of the subset) / (Number of elements in the subset)

Q: Can we use this method to find the mean of a set of numbers with negative values?

A: Yes, we can use this method to find the mean of a set of numbers with negative values. However, we need to make sure that we are performing the calculations correctly to avoid any errors.

Example Use Cases

Example 1: Finding the mean of the remaining two numbers

Suppose we have a set of three numbers with a mean of 15, and one of the numbers is 10. We can use the formula to find the mean of the remaining two numbers:

Mean = (Sum of all three numbers - One of the numbers) / 2 = (15 × 3 - 10) / 2 = 40 / 2 = 20

Example 2: Finding the third number

Suppose we have two numbers with a mean of 20, and one of the numbers is 15. We can use the formula to find the third number:

Third number = (Mean × 3) - (Sum of the two given numbers) = (20 × 3) - 15 = 60 - 15 = 45

Conclusion

In conclusion, finding the mean of the remaining two numbers when one of the numbers is 8 and the mean of the three numbers is 12 is a simple process. We can use this method to find the mean of a set of numbers in real-life scenarios. We also answered some frequently asked questions related to this topic and provided example use cases to illustrate the application of this method.

Frequently Asked Questions

Q: What is the formula to find the mean of the remaining two numbers?

A: The formula to find the mean of the remaining two numbers is:

Mean = (Sum of all three numbers - One of the numbers) / 2

Q: Can we apply this method to find the mean of more than two numbers?

Q: What if we are given two numbers and their mean, and we need to find the third number?

A: If we are given two numbers and their mean, and we need to find the third number, we can use the following formula:

Third number = (Mean × 3) - (Sum of the two given numbers)

Step-by-Step Solution

Here's a step-by-step solution to the problem:

Understand the problem: We are given three numbers with a mean of 12 and one of the numbers is 8.
Calculate the sum of all three numbers: The sum of all three numbers is 12 multiplied by 3, which is 36.
Subtract 8 from 36 to find the sum of the remaining two numbers: 36 - 8 = 28.
Divide the sum of the remaining two numbers by 2 to find their mean: 28 ÷ 2 = 14.