The mean age of R 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 R
Question 1 Report
The mean age of R 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 R
Answer Details
Let the total age of all R men in the club be T.
Then, we know that the mean age of R men is 50 years. Therefore, we have:
T/R = 50
When two men aged 55 and 63 leave the club, the total age of the remaining men becomes T - 55 - 63, and the total number of remaining men becomes R - 2. We also know that the new mean age is reduced by 1 year. Therefore, we have:
(T - 55 - 63)/(R - 2) = 49
Expanding this equation and substituting T/R = 50, we get:
(50R - 118)/(R - 2) = 49
Multiplying both sides by (R - 2), we get:
50R - 118 = 49(R - 2)
50R - 118 = 49R - 98
R = 20
Therefore, there were originally 20 men in the club.
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