Processing math: 31%
Home / Aptitude Tests / Further Mathematics / The mean age of n me...

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

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

A.

30

B.

20

C.

18

D.

14

Correct answer is B

Let the sum of the men's ages be f, so that

fn=50....(1)

Also, f(55+63)n2=501=49....(2)

From (1), f=50n

From (2), f118=49(n2)=49n98

f=49n98+118=49n+20

50n - 49n = n = 20