SSC CHSL Exam > SSC CHSL Questions > The average age of a class of 20 students is ...
Start Learning for Free
The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher?
Most Upvoted Answer
The average age of a class of 20 students is 12 years. When the age of...
Given data:
- Number of students = 20
- Average age of students = 12 years
- Increase in average age when teacher is included = 8 months
Let's solve the problem step by step:
Step 1: Finding the total age of students without the teacher
- Total age of 20 students = Number of students * Average age
- Total age of 20 students = 20 * 12 = 240 years
Step 2: Finding the total age of students with the teacher
- Total age of students with the teacher = Total age without teacher + Teacher's age
- Total age of students with the teacher = 240 + Teacher's age
Step 3: Calculating the new average age
- New average age = (Total age of students with teacher) / (Number of students + 1)
- New average age = (240 + Teacher's age) / 21
Step 4: Calculating the increase in average age
- Increase in average age = New average age - Average age without teacher
- 8 months = [(240 + Teacher's age) / 21] - 12 years
Step 5: Solving for the age of the teacher
- 8 months = (240 + Teacher's age) / 21 - 12
- 8 = (240 + Teacher's age) / 21 - 12
- 8 = (240 + Teacher's age - 252) / 21
- 8 = (Teacher's age - 12) / 21
- 168 = Teacher's age - 12
- Teacher's age = 180 years
Therefore, the age of the teacher is 180 years.
- Number of students = 20
- Average age of students = 12 years
- Increase in average age when teacher is included = 8 months
Let's solve the problem step by step:
Step 1: Finding the total age of students without the teacher
- Total age of 20 students = Number of students * Average age
- Total age of 20 students = 20 * 12 = 240 years
Step 2: Finding the total age of students with the teacher
- Total age of students with the teacher = Total age without teacher + Teacher's age
- Total age of students with the teacher = 240 + Teacher's age
Step 3: Calculating the new average age
- New average age = (Total age of students with teacher) / (Number of students + 1)
- New average age = (240 + Teacher's age) / 21
Step 4: Calculating the increase in average age
- Increase in average age = New average age - Average age without teacher
- 8 months = [(240 + Teacher's age) / 21] - 12 years
Step 5: Solving for the age of the teacher
- 8 months = (240 + Teacher's age) / 21 - 12
- 8 = (240 + Teacher's age) / 21 - 12
- 8 = (240 + Teacher's age - 252) / 21
- 8 = (Teacher's age - 12) / 21
- 168 = Teacher's age - 12
- Teacher's age = 180 years
Therefore, the age of the teacher is 180 years.
|
Explore Courses for SSC CHSL exam
|
|
Similar SSC CHSL Doubts
Top Courses for SSC CHSLView all
The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher?
Question Description
The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher?.
The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher?.
Solutions for The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher? in English & in Hindi are available as part of our courses for SSC CHSL.
Download more important topics, notes, lectures and mock test series for SSC CHSL Exam by signing up for free.
Here you can find the meaning of The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher? defined & explained in the simplest way possible. Besides giving the explanation of
The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher?, a detailed solution for The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher? has been provided alongside types of The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher? theory, EduRev gives you an
ample number of questions to practice The average age of a class of 20 students is 12 years. When the age of the teacher is also included the average will be increased by 8 months. What is the age of the teacher? tests, examples and also practice SSC CHSL tests.
|
|
Explore Courses for SSC CHSL exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup