The average age of 14 students and their teacher is 20 years. If the teacher is excluded, then their average age reduces by 1.5 years. The teacher’s age is: 

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SSC GD Constable (2022) Official Paper (Held On : 11 Jan 2023 Shift 3)
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  1. 41 years
  2. 30 years
  3. 39 years
  4. 59 years

Answer (Detailed Solution Below)

Option 1 : 41 years
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Given:

Total number of people = 15, Average age with teacher = 20 years, Average age without teacher = 18.5 years

Formula used:

Average age × Number of people

Calculations:

Total age with teacher = 20 × 15 = 300 years

Total age of only students = 18.5 × 14 = 259 years

Teacher's age = 300 - 259 = 41 years

Hence, the teacher's age is 41 years.

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