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The average age of a family of 8 members is 24 years. If the age of the youngest member be 6 years, the average age of the family at the birth of the youngest member was?
- a)23.42 years
- b)21.42 years
- c)27.42 years
- d)26.42 years
- e)24.42 years
Correct answer is option 'B'. Can you explain this answer?
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The average age of a family of 8 members is 24 years. If the age of th...
Answer – B. 21.42 years Explanation: Total present age of the family (8*24) = 192 years Total age of the family 6 years ago = (192 – 6*7) = 150 years At that time, Total members in the family = 7 Therefore Average age at that time = 150/7 = 21.42 years
Most Upvoted Answer
The average age of a family of 8 members is 24 years. If the age of th...
The average age of a family of 8 members :- 24 years
Sum of ages of eight members:-
=> 24*8 = 192
6 years ago their total age was :-
=> 192 - (6*8)
=> 192 - 48
=> 144
The average age of 7 members, 6 years ago:-
=> 144/7
=> 20.57 years.
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The average age of a family of 8 members is 24 years. If the age of th...
Given information:
- Number of family members = 8
- Average age of family members = 24 years
- Age of youngest member = 6 years
To find:
- Average age of the family at the birth of the youngest member
Solution:
Let's assume that the age of the youngest member at present is y years. Then, the sum of ages of all family members at present can be calculated as:
Sum of ages = (Average age) x (Number of members) = 24 x 8 = 192 years
Since the youngest member is 6 years old, the sum of ages at the time of his birth can be calculated as:
Sum of ages at birth = Sum of ages - Age of youngest member = 192 - 6 = 186 years
Now, we need to find the average age of the family at the time of the youngest member's birth. This can be calculated as:
Average age at birth = Sum of ages at birth / Number of members
Average age at birth = 186 / 8 = 23.25 years
Therefore, the average age of the family at the time of the youngest member's birth was 23.25 years or approximately 21.42 years (rounded to two decimal places).
Answer: Option (b) 21.42 years.
- Number of family members = 8
- Average age of family members = 24 years
- Age of youngest member = 6 years
To find:
- Average age of the family at the birth of the youngest member
Solution:
Let's assume that the age of the youngest member at present is y years. Then, the sum of ages of all family members at present can be calculated as:
Sum of ages = (Average age) x (Number of members) = 24 x 8 = 192 years
Since the youngest member is 6 years old, the sum of ages at the time of his birth can be calculated as:
Sum of ages at birth = Sum of ages - Age of youngest member = 192 - 6 = 186 years
Now, we need to find the average age of the family at the time of the youngest member's birth. This can be calculated as:
Average age at birth = Sum of ages at birth / Number of members
Average age at birth = 186 / 8 = 23.25 years
Therefore, the average age of the family at the time of the youngest member's birth was 23.25 years or approximately 21.42 years (rounded to two decimal places).
Answer: Option (b) 21.42 years.
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The average age of a family of 8 members is 24 years. If the age of the youngest member be 6 years, the average age of the family at the birth of the youngest member was?a)23.42 yearsb)21.42 yearsc)27.42 yearsd)26.42 yearse)24.42 yearsCorrect answer is option 'B'. Can you explain this answer?
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