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Average age of 25 students is 10 years. Average age rises by one year, if the age of the teacher is also included. What is the age of the teacher ?
- a)28 years
- b)36 years
- c)46 years
- d)25 years
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Average age of 25 students is 10 years. Average age rises by one year,...
Teacher’s age
= (25 + 1) × (10 + 1) – 25 × 10
= 286 – 250
= 36 years
Most Upvoted Answer
Average age of 25 students is 10 years. Average age rises by one year,...
The average age of the students:
Let's assume the sum of the ages of the 25 students is S.
So, according to the given information, the average age of the 25 students is 10 years. Therefore, we can write the equation:
S/25 = 10
The average age with the teacher:
Now, let's assume the age of the teacher is T.
When the teacher is included, the total number of people becomes 26 (25 students + 1 teacher).
The sum of ages with the teacher can be expressed as:
(S + T)/26
According to the given information, the average age rises by one year when the teacher is included. Therefore, we can write the equation:
(S + T)/26 = 11
Solving the equations:
Now, we have two equations:
S/25 = 10 (Equation 1)
(S + T)/26 = 11 (Equation 2)
We can solve these equations to find the values of S and T.
From Equation 1, we can write:
S = 10 * 25
S = 250
Now, substitute the value of S in Equation 2:
(250 + T)/26 = 11
Multiply both sides of the equation by 26:
250 + T = 11 * 26
250 + T = 286
Subtract 250 from both sides:
T = 286 - 250
T = 36
Therefore, the age of the teacher is 36 years.
Hence, the correct answer is option B) 36 years.
Let's assume the sum of the ages of the 25 students is S.
So, according to the given information, the average age of the 25 students is 10 years. Therefore, we can write the equation:
S/25 = 10
The average age with the teacher:
Now, let's assume the age of the teacher is T.
When the teacher is included, the total number of people becomes 26 (25 students + 1 teacher).
The sum of ages with the teacher can be expressed as:
(S + T)/26
According to the given information, the average age rises by one year when the teacher is included. Therefore, we can write the equation:
(S + T)/26 = 11
Solving the equations:
Now, we have two equations:
S/25 = 10 (Equation 1)
(S + T)/26 = 11 (Equation 2)
We can solve these equations to find the values of S and T.
From Equation 1, we can write:
S = 10 * 25
S = 250
Now, substitute the value of S in Equation 2:
(250 + T)/26 = 11
Multiply both sides of the equation by 26:
250 + T = 11 * 26
250 + T = 286
Subtract 250 from both sides:
T = 286 - 250
T = 36
Therefore, the age of the teacher is 36 years.
Hence, the correct answer is option B) 36 years.
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Average age of 25 students is 10 years. Average age rises by one year, if the age of the teacher is also included. What is the age of the teacher ?a)28 yearsb)36 yearsc)46 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer?
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Average age of 25 students is 10 years. Average age rises by one year, if the age of the teacher is also included. What is the age of the teacher ?a)28 yearsb)36 yearsc)46 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Average age of 25 students is 10 years. Average age rises by one year, if the age of the teacher is also included. What is the age of the teacher ?a)28 yearsb)36 yearsc)46 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Average age of 25 students is 10 years. Average age rises by one year, if the age of the teacher is also included. What is the age of the teacher ?a)28 yearsb)36 yearsc)46 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer?.
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