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Question : Direction: 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?

Option 1: 39 years

Option 2: 41 years

Option 3: 40 years

Option 4: 44 years


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 41 years


Solution : Given:

The average age of 19 boys in a class is 21 years

⇒ (sum of the ages of boys) ÷ 19 = 21

⇒ (sum of the ages of boys) = 19 x 21 = 399

The average with teacher's age included = 22

⇒ (sum of ages of boys + age of the teacher) ÷ 20 = 22

⇒ (sum of ages of boys + age of the teacher) = 22 x 20 = 440

⇒ 399 + (age of the teacher) = 440

⇒ (age of the teacher) = 440 – 399 = 41.

Hence, option second is correct.

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