In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years is replaced by a new boy. The age of the new boy is?

14 years 8 months
15 years
16 years 4 months years
17 years 10 months years

Correct Answer: 14 years 8 months

Explanation:

Total decrease
= ( 20 X 2 ) months
= 3 years 4 month
∴ Age of the new boy
= ( 18 years ) – ( 3 years 4 months)
= 14 years 8 month

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