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The average age of a class of 20 students is 20 years. If the teacher's age is also included the average age increases by one year. The teacher's age is
- a)24 years
- b)30 years
- c)41 years
- d)44 years
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The average age of a class of 20 students is 20 years. If the teacher'...
Given:
- Average age of a class of 20 students is 20 years.
- Including the teacher's age, the average age increases by one year.
To find:
The age of the teacher.
Solution:
Let's assume the teacher's age is 'x' years.
Average age of the class:
The average age of the class of 20 students is given as 20 years. This means the sum of all the ages in the class is (20 * 20) = 400 years.
Average age including the teacher:
When the teacher's age is included, the average age increases by one year. So, the new average age of the class is (20 + 1) = 21 years.
Updated sum of ages:
The updated sum of ages in the class, including the teacher, is (21 * 21) = 441 years.
Age of the teacher:
To find the age of the teacher, we need to subtract the sum of the ages of the 20 students from the updated sum of ages.
Teacher's age = Updated sum of ages - Sum of ages of 20 students
Teacher's age = 441 - 400
Teacher's age = 41 years
Therefore, the age of the teacher is 41 years. Hence, option C is the correct answer.
- Average age of a class of 20 students is 20 years.
- Including the teacher's age, the average age increases by one year.
To find:
The age of the teacher.
Solution:
Let's assume the teacher's age is 'x' years.
Average age of the class:
The average age of the class of 20 students is given as 20 years. This means the sum of all the ages in the class is (20 * 20) = 400 years.
Average age including the teacher:
When the teacher's age is included, the average age increases by one year. So, the new average age of the class is (20 + 1) = 21 years.
Updated sum of ages:
The updated sum of ages in the class, including the teacher, is (21 * 21) = 441 years.
Age of the teacher:
To find the age of the teacher, we need to subtract the sum of the ages of the 20 students from the updated sum of ages.
Teacher's age = Updated sum of ages - Sum of ages of 20 students
Teacher's age = 441 - 400
Teacher's age = 41 years
Therefore, the age of the teacher is 41 years. Hence, option C is the correct answer.
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The average age of a class of 20 students is 20 years. If the teacher's age is also included the average age increases by one year. The teacher's age isa)24 yearsb)30 yearsc)41 yearsd)44 yearsCorrect answer is option 'C'. Can you explain this answer?
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The average age of a class of 20 students is 20 years. If the teacher's age is also included the average age increases by one year. The teacher's age isa)24 yearsb)30 yearsc)41 yearsd)44 yearsCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The average age of a class of 20 students is 20 years. If the teacher's age is also included the average age increases by one year. The teacher's age isa)24 yearsb)30 yearsc)41 yearsd)44 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a class of 20 students is 20 years. If the teacher's age is also included the average age increases by one year. The teacher's age isa)24 yearsb)30 yearsc)41 yearsd)44 yearsCorrect answer is option 'C'. Can you explain this answer?.
The average age of a class of 20 students is 20 years. If the teacher's age is also included the average age increases by one year. The teacher's age isa)24 yearsb)30 yearsc)41 yearsd)44 yearsCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The average age of a class of 20 students is 20 years. If the teacher's age is also included the average age increases by one year. The teacher's age isa)24 yearsb)30 yearsc)41 yearsd)44 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a class of 20 students is 20 years. If the teacher's age is also included the average age increases by one year. The teacher's age isa)24 yearsb)30 yearsc)41 yearsd)44 yearsCorrect answer is option 'C'. Can you explain this answer?.
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