A) 11 years
B) 24 years
C) 28 years
D) 16 years
Correct Answer: B
Solution :
3 years ago, let the total age of 8 members = M years. Then, at present, the total age of the 8 members = (M + 24) years. But a young member is substituted for an old member, then the new total of ages = (M + 24 - y) years, where y is the difference between the ages of the old member and the new member. Now, since the averages are same \[\therefore \] \[\frac{M}{8}=\frac{M+24-y}{8}\Rightarrow y=24\,years.\]
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