In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years in replaced by a new boy. The age of the new boy is:
A
14 years and 8 months
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B
15 years
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C
16 years 4 months
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D
17 years 10 months
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E
None of these
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Solution
The correct option is A 14 years and 8 months Total decrease = (20×2) months = 3 years 4 months ∴ Age of the new boy = 18 years - 3 years 4 months = 14 years 8 months.