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The average age of 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?
- a)33 years
- b)30 years
- c)27 years
- d)24 years
- e)25 years
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The average age of 10 students and their teacher is 15 years. The ave...
Total age of 10 students and their teacher = 11 × 15 = 165 years.
Total age of first 7 students = 7×15 = 105 years
Total age of 3 students = 3 × 11 = 33 years
∴ Total age of 10 students = 105 + 33 = 138 years
Age of their teacher = 165 − 138 = 27 years
Hence, the correct option is (C).
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The average age of 10 students and their teacher is 15 years. The ave...
Given Information:
- The average age of 10 students and their teacher is 15 years.
- The average age of the first seven students is 15 years.
- The average age of the last three students is 11 years.
Calculating the Sum of Ages:
To find the teacher's age, we need to determine the sum of ages of all the students and the teacher.
- Let's denote the sum of ages of the 10 students and the teacher as "X".
- According to the given information, the average age of the 10 students and the teacher is 15 years. Hence, the sum of their ages is 15 * 11 = 165 years.
Determining the Age of the First Seven Students:
- The average age of the first seven students is given as 15 years. Hence, the sum of their ages is 15 * 7 = 105 years.
Determining the Age of the Last Three Students:
- The average age of the last three students is given as 11 years. Hence, the sum of their ages is 11 * 3 = 33 years.
Determining the Teacher's Age:
- To find the teacher's age, we subtract the sum of ages of the 10 students from the sum of ages of all the students and the teacher.
- Teacher's age = Sum of ages of all students and teacher - Sum of ages of 10 students
- Teacher's age = 165 - (105 + 33)
- Teacher's age = 165 - 138
- Teacher's age = 27 years.
Hence, the teacher's age is 27 years, which corresponds to option 'C'.
- The average age of 10 students and their teacher is 15 years.
- The average age of the first seven students is 15 years.
- The average age of the last three students is 11 years.
Calculating the Sum of Ages:
To find the teacher's age, we need to determine the sum of ages of all the students and the teacher.
- Let's denote the sum of ages of the 10 students and the teacher as "X".
- According to the given information, the average age of the 10 students and the teacher is 15 years. Hence, the sum of their ages is 15 * 11 = 165 years.
Determining the Age of the First Seven Students:
- The average age of the first seven students is given as 15 years. Hence, the sum of their ages is 15 * 7 = 105 years.
Determining the Age of the Last Three Students:
- The average age of the last three students is given as 11 years. Hence, the sum of their ages is 11 * 3 = 33 years.
Determining the Teacher's Age:
- To find the teacher's age, we subtract the sum of ages of the 10 students from the sum of ages of all the students and the teacher.
- Teacher's age = Sum of ages of all students and teacher - Sum of ages of 10 students
- Teacher's age = 165 - (105 + 33)
- Teacher's age = 165 - 138
- Teacher's age = 27 years.
Hence, the teacher's age is 27 years, which corresponds to option 'C'.
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The average age of 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?a)33 yearsb)30 yearsc)27 yearsd)24 yearse)25 yearsCorrect answer is option 'C'. Can you explain this answer?
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The average age of 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?a)33 yearsb)30 yearsc)27 yearsd)24 yearse)25 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 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?a)33 yearsb)30 yearsc)27 yearsd)24 yearse)25 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 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?a)33 yearsb)30 yearsc)27 yearsd)24 yearse)25 yearsCorrect answer is option 'C'. Can you explain this answer?.
The average age of 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?a)33 yearsb)30 yearsc)27 yearsd)24 yearse)25 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 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?a)33 yearsb)30 yearsc)27 yearsd)24 yearse)25 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 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?a)33 yearsb)30 yearsc)27 yearsd)24 yearse)25 yearsCorrect answer is option 'C'. Can you explain this answer?.
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