The average age of a family of five members is 20 years If the age of the youngest member is 10 year...........

Quant (SSC) Problems based on Ages

The average age of a family of five members is 20 years. If the age of the youngest member is 10 years as of now, what was the average age of the family just a day before the birth of the youngest member? Assume that no other members have been added to or removed from this family in this period?

15.5

12.5

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Explanation:

At present, total age of the family = 5 × 20 = 100 years
Since the youngest member is currently 10 years old,
one day before the birth of the youngest member means 10 years ago.
∴ Total age of the family one day before the birth of the youngest member = [100 − (10 × 5)] = 50
Now, we must consider only 4 members since the youngest one isn't born yet (at this point of time)
∴ Required average age = 50/4 = 12.5 years