| The average age of a family of five members is 24. If the present age of the youngest member is 8 yr, then what was the average age of the family at the time of the birth of the youngest member? [Corporation Bank (PO) 2011] |
A) 20 yr
B) 16 yr
C) 12 yr
D) 18 yr
E) 21yr
Correct Answer: A
Solution :
| Average of 5 members of a family is 24. |
| \[\therefore \]Total age of five members of a family |
| \[=24\times 5=120\] |
| \[\therefore \]Total age of four members at the time of birth of the youngest member \[=120-8\times 5\] |
| \[=120-40=80\,\,yr\] |
| Hence, required average age\[=\frac{80}{4}=20\,\,yr\] |
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