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The mean age of n men in a club is 50 years. Two men aged...

Further Mathematics
WAEC 2025

The mean age of n men in a club is 50 years. Two men aged 55 and 63 left the club, and the mean age reduced by 1 year. Find the value of n

  • A. 30
  • B. 14
  • C. 18
  • D. 20
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Correct Answer: Option D
Explanation

Mean × number = total.   Initial total (= 50n)

After two men (55 and 63) leave:

Remaining men (= n - 2)

New mean (= 49)

50n - 118 = 49(n - 2)

50n - 118 = 49n - 98

50n - 49n = -98 + 118 = 20.


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