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The average age of a family of 5 members is 22 years. If the age of the youngest member is 10 years, then what was the average age of the family at the birth of the youngest member?
- a)14
- b)15
- c)17
- d)25
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The average age of a family of 5 members is 22 years. If the age of th...
Sum of ages of 5 members = 5 × 22 = 110 years
The youngest member is of 10 years.
Now, excluding the youngest member, sum of ages of the rest 4 members = 110 - 10 = 100 years
10 years ago, sum of ages = 100 - (4 × 10) = 60
Thus, average of 4 members = 60/4 = 15 years
The youngest member is of 10 years.
Now, excluding the youngest member, sum of ages of the rest 4 members = 110 - 10 = 100 years
10 years ago, sum of ages = 100 - (4 × 10) = 60
Thus, average of 4 members = 60/4 = 15 years
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The average age of a family of 5 members is 22 years. If the age of th...
To find the average age of the family at the birth of the youngest member, we need to consider the ages of all the family members before the birth of the youngest member.
Let's consider the average age of the family as (A) and the age of the youngest member as (Y).
Given information:
Number of family members (N) = 5
Average age of the family (A) = 22 years
Age of the youngest member (Y) = 10 years
We can use the formula for average:
Average = Sum of values / Number of values
Let's calculate the sum of ages of all family members before the birth of the youngest member.
Sum of ages = Average age of the family * Number of family members
= 22 years * 5 members
= 110 years
Now, let's calculate the sum of ages of all family members at the birth of the youngest member.
Sum of ages at birth of youngest member = Sum of ages - Age of youngest member
= 110 years - 10 years
= 100 years
Next, we need to find the average age of the family at the birth of the youngest member.
Average age at birth of youngest member = Sum of ages at birth of youngest member / Number of family members
= 100 years / 5 members
= 20 years
Therefore, the average age of the family at the birth of the youngest member is 20 years.
However, none of the given options match our calculation. Therefore, the correct answer cannot be determined from the given options.
Let's consider the average age of the family as (A) and the age of the youngest member as (Y).
Given information:
Number of family members (N) = 5
Average age of the family (A) = 22 years
Age of the youngest member (Y) = 10 years
We can use the formula for average:
Average = Sum of values / Number of values
Let's calculate the sum of ages of all family members before the birth of the youngest member.
Sum of ages = Average age of the family * Number of family members
= 22 years * 5 members
= 110 years
Now, let's calculate the sum of ages of all family members at the birth of the youngest member.
Sum of ages at birth of youngest member = Sum of ages - Age of youngest member
= 110 years - 10 years
= 100 years
Next, we need to find the average age of the family at the birth of the youngest member.
Average age at birth of youngest member = Sum of ages at birth of youngest member / Number of family members
= 100 years / 5 members
= 20 years
Therefore, the average age of the family at the birth of the youngest member is 20 years.
However, none of the given options match our calculation. Therefore, the correct answer cannot be determined from the given options.
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The average age of a family of 5 members is 22 years. If the age of the youngest member is 10 years, then what was the average age of the family at the birth of the youngest member?a)14b)15c)17d)25Correct answer is option 'B'. Can you explain this answer?
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