Question : From a class of 42 boys, a boy aged 10 years goes away and in his place, a new boy is admitted. If on account of this change, the average age of the boys in that class increases by 2 months, the age of the newcomer is:
Option 1: 19 years
Option 2: 17 years
Option 3: 10 years 6 months
Option 4: 12 years 2 months
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Correct Answer: 17 years
Solution :
According to the question,
Due to newcomers, average age is increased by 2 months
Total age increment in 42 boys
= 42 × 2
= 84 months or 7 years
∴ Age of new boy
= 10 + 7
= 17 years
Hence, the correct answer is 17 years.
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