The average age of 40 students of a class is 12 years. If the age of the teacher is also included, the average age of the whole group becomes 13 years. The age (in years) of the teacher is:

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SSC GD Constable 2025 Official Paper (Held On: 07 Feb, 2025 Shift 2)
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  1. 51
  2. 50
  3. 53
  4. 56

Answer (Detailed Solution Below)

Option 3 : 53
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Detailed Solution

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Given:

Average age of 40 students = 12 years

Average age of the group (students + teacher) = 13 years

Total number of people in the group = 41

Formula used:

Total age = Average age × Number of people

Calculation:

Total age of 40 students = 12 × 40 = 480

Total age of group (students + teacher) = 13 × 41 = 533

Age of teacher = Total age of group - Total age of 40 students

⇒ Age of teacher = 533 - 480 = 53

∴ The correct answer is option (3).

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