UPSC Exam  >  UPSC Questions  >  The average age of a teacher and three studen... Start Learning for Free
The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?
  • a)
    25 years
  • b)
    30 years
  • c)
    35 years
  • d)
    45 years
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The average age of a teacher and three students is 20 years. If all th...
Given information:
- Average age of a teacher and three students is 20 years.
- All three students are of the same age.
- The difference between the age of the teacher and each student is 20 years.

To find: Age of the teacher.

Let's assume the age of each student to be x.
Then, the age of the teacher = x + 20 + x + 20 + x + 20 (as there are three students)
= 3x + 60

Now, according to the given information, the average age of the teacher and three students is 20 years.
So, we can write:

(x + 20 + x + x + x)/4 = 20
=> 4x + 20 = 80
=> 4x = 60
=> x = 15

Therefore, the age of each student is 15 years.
And, the age of the teacher = 3x + 60 = 3(15) + 60 = 45 years.

Hence, the correct answer is option (c) 35 years.
Free Test
Community Answer
The average age of a teacher and three students is 20 years. If all th...
X+20+x+x+x= 80
4x+20=80
x= 15
therefore teacher = 20+15
Explore Courses for UPSC exam

Similar UPSC Doubts

Top Courses for UPSC

The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer?
Question Description
The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?a)25 yearsb)30 yearsc)35 yearsd)45 yearsCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev