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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?

39 years
41 years
40 years
44 years

Correct Answer: 41 years

Explanation:

Given that :- The average age of 19 boys in a class = 21 years
Total age of 19 boys = 19 × 21 = 399 years
The average age of 19 boys and teacher = 22 years
Total age of 19 boys and teacher = 20 × 22 = 440 years
∴Teacher's age = Total age of 19 boys and teacher - Total age of 19 boys
Teacher's age = 440 – 399 = 41 years
Hence , the age of teacher is 41 years .

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