The Average Age Of 59 Students In A Class Is 22 Years. If The Age Of The Teacher Is Also Included, The Average Age Of The Entire Group Becomes 23 Years. Then The Age Of The Teacher (in Years) Is:

**The Average Age of 59 Students and a Teacher: A Mathematical Puzzle** ===========================================================

Introduction

In this article, we will delve into a mathematical problem that involves finding the age of a teacher based on the average age of a group of students. The problem is as follows: the average age of 59 students in a class is 22 years, and when the age of the teacher is included, the average age of the entire group becomes 23 years. Our goal is to find the age of the teacher.

The Problem

Let's break down the problem step by step. We know that the average age of 59 students is 22 years. This means that the total age of all 59 students is 59 x 22 = 1258 years.

When the age of the teacher is included, the average age of the entire group becomes 23 years. This means that the total age of all 60 individuals (59 students + 1 teacher) is 60 x 23 = 1380 years.

The Solution

To find the age of the teacher, we need to find the difference between the total age of the entire group and the total age of the students. This difference will give us the age of the teacher.

Let's calculate the difference:

Total age of the entire group = 1380 years Total age of the students = 1258 years

Age of the teacher = Total age of the entire group - Total age of the students = 1380 - 1258 = 122 years

Therefore, the age of the teacher is 122 years.

Q&A

Q: What is the average age of 59 students in a class?

A: The average age of 59 students in a class is 22 years.

Q: What is the average age of the entire group when the age of the teacher is included?

A: The average age of the entire group when the age of the teacher is included is 23 years.

Q: How do we find the age of the teacher?

A: To find the age of the teacher, we need to find the difference between the total age of the entire group and the total age of the students.

Q: What is the total age of all 59 students?

A: The total age of all 59 students is 59 x 22 = 1258 years.

Q: What is the total age of all 60 individuals (59 students + 1 teacher)?

A: The total age of all 60 individuals (59 students + 1 teacher) is 60 x 23 = 1380 years.

Q: How do we calculate the age of the teacher?

A: We calculate the age of the teacher by subtracting the total age of the students from the total age of the entire group.

Q: What is the age of the teacher?

A: The age of the teacher is 122 years.

Conclusion

In this article, we have solved a mathematical problem that involves finding the age of a teacher based on the average age of a group of students. We have used basic arithmetic operations to find the total age of the students and the entire group, and then calculated the age of the teacher by finding the difference between the two totals. We hope that this article has provided a clear and concise explanation of the problem and its solution.