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Problem Based on ages

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  1. The average age of 19 boys in a class is 21 years. If the teacher’s age is included, the average increases to 22 years. What is the teacher’s age?
    1. 39 years
    2. 41 years
    3. 40 years
    4. 44 years
Correct Option: B

The average age of 19 boys in a class = 21 years
Sum total of ages of 19 boys = 19 × 21 years = 399 years
The average age of 19 boys and teacher in a class = 21 years
Sum total of ages of 19 boys and teacher = 20 × 22 years = 440 years
∴ Age of teacher = Sum total of ages of 19 boys and teacher - Sum total of ages of 19 boys
Age of teacher = ( 440 – 399 ) years = 41 years


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