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The average age of a family of 6 members is 22 years. If the age of the youngest member be 7 years, then what was the average age of the family at the birth of the youngest member?
- a)15
- b)18
- c)28
- d)24
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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The average age of a family of 6 members is 22 years. If the age of th...
Answer – B (18) Explanation – Total age of all members = 6 x 22 = 132 years 7 years ago, total sum of ages = 132 – (6 x 7) = 90 years But at that time there were 5 members in the family Average at that time = 90 /5 = 18 years
Most Upvoted Answer
The average age of a family of 6 members is 22 years. If the age of th...
Given:
- Average age of a family of 6 members = 22 years
- Age of the youngest member = 7 years
To find: Average age of the family at the birth of the youngest member
Solution:
Let's assume that the sum of the ages of all the family members at present is S.
Then, S/6 = 22 (as the average age of the family is 22)
S = 6 × 22
S = 132
Now, let's assume that the sum of the ages of all the family members at the time of the birth of the youngest member was S'.
Since the youngest member is currently 7 years old, the age gap between the present and the time of birth of the youngest member is (22 - 7) = 15 years.
Therefore, S' = S - 15 (as the total sum of ages would have been lesser by 15 years at the time of the birth of the youngest member)
S' = 132 - 15
S' = 117
Now, let's find the average age of the family at the time of the birth of the youngest member.
Average age = S'/6
Average age = 117/6
Average age = 19.5 years
Therefore, the average age of the family at the birth of the youngest member was 19.5 years, which is option (B).
- Average age of a family of 6 members = 22 years
- Age of the youngest member = 7 years
To find: Average age of the family at the birth of the youngest member
Solution:
Let's assume that the sum of the ages of all the family members at present is S.
Then, S/6 = 22 (as the average age of the family is 22)
S = 6 × 22
S = 132
Now, let's assume that the sum of the ages of all the family members at the time of the birth of the youngest member was S'.
Since the youngest member is currently 7 years old, the age gap between the present and the time of birth of the youngest member is (22 - 7) = 15 years.
Therefore, S' = S - 15 (as the total sum of ages would have been lesser by 15 years at the time of the birth of the youngest member)
S' = 132 - 15
S' = 117
Now, let's find the average age of the family at the time of the birth of the youngest member.
Average age = S'/6
Average age = 117/6
Average age = 19.5 years
Therefore, the average age of the family at the birth of the youngest member was 19.5 years, which is option (B).
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Community Answer
The average age of a family of 6 members is 22 years. If the age of th...
Total age =6*22=132
at the time of youngest member's birth
total age =132-6*7=90
now average age at the time of youngest member's birth = 90/6=15
at the time of youngest member's birth
total age =132-6*7=90
now average age at the time of youngest member's birth = 90/6=15
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The average age of a family of 6 members is 22 years. If the age of the youngest member be 7 years, then what was the average age of the family at the birth of the youngest member?a)15b)18c)28d)24e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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