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The number of members in a family is 7. The eldest among them is 90 years old, and the youngest one is 10 years old. The average age of remaining members is 22 years. If the eldest member dies after 5 years, what will be the average age of the family after his death(in years)?

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The number of members in a family is 7. The eldest among them is 90 years old, and the youngest one is 10 years old. The average age of remaining members is 22 years. If the eldest member dies after 5 years, what will be the average age of the family after his death(in years)?
1). 23
2). 24
3). 25
4). 27


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Answered by on | Votes 1 |

After 5 years, the age of eldest person = 95 years

After 5 years, the age of youngest person = 15 years

After 5 years, average age of remaining 5 persons = (22 + 5) years = 27 years

After 5 years, sum of ages of remaining 5 persons = 27 × 5 = 135 years

When eldest member dies, family will have six members.

∴ Average age of family = (135 + 15)/6 = 25 years

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