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© examsnet.com
Question : 8 of 22
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The average age of 22 boys in a class is 18 years. If the age of two boys, each aged 21 years old are excluded and the teacher’s age is included, the average decreases by three. What is the teacher’s age?
35 years
39 years
40 years
32 years
31 years
Validate
Solution:
Total age of boys in the class = (22 × 18) years = 396 years1Excluded age of two boys = (21 × 2) years = 42 years
∴ Required age of the teacher
⇒ 396 - 42 + x = 21 × (18 - 3)
396 - 42 + x = 21 × 15
354 + x = 315
x = 39 years.
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