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In a family of 6 members, the average age of the family at present is 25 while the age of the youngest member in the family is 5yrs, so what will be the average age of the family at the time of his birth ?
- a)21
- b)22
- c)23
- d)24
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a family of 6 members, the average age of the family at present is ...
Answer – d) 24 Explanation : sum of ages = 25*6 = 150 At the time of birth, i.e 5 years back, so (150-6*5)/5 = 24
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In a family of 6 members, the average age of the family at present is ...
Problem Analysis:
We are given that the average age of a family of 6 members is 25 and the age of the youngest member is 5 years. We need to find the average age of the family at the time of the youngest member's birth.
Calculating the sum of the current ages:
Since the average age of the family is 25, the sum of the current ages of all 6 members can be calculated as follows:
Total sum = Average * Number of members
Total sum = 25 * 6
Total sum = 150
Calculating the sum of the ages at the time of the youngest member's birth:
To calculate the sum of the ages at the time of the youngest member's birth, we need to subtract the age of the youngest member from the total sum.
Sum at the time of birth = Total sum - Age of the youngest member
Sum at the time of birth = 150 - 5
Sum at the time of birth = 145
Calculating the average age at the time of birth:
To calculate the average age at the time of the youngest member's birth, we divide the sum at the time of birth by the number of members.
Average at the time of birth = Sum at the time of birth / Number of members
Average at the time of birth = 145 / 6
Average at the time of birth ≈ 24.17
Conclusion:
The average age of the family at the time of the youngest member's birth is approximately 24.17 years, which is closest to the option D) 24.
We are given that the average age of a family of 6 members is 25 and the age of the youngest member is 5 years. We need to find the average age of the family at the time of the youngest member's birth.
Calculating the sum of the current ages:
Since the average age of the family is 25, the sum of the current ages of all 6 members can be calculated as follows:
Total sum = Average * Number of members
Total sum = 25 * 6
Total sum = 150
Calculating the sum of the ages at the time of the youngest member's birth:
To calculate the sum of the ages at the time of the youngest member's birth, we need to subtract the age of the youngest member from the total sum.
Sum at the time of birth = Total sum - Age of the youngest member
Sum at the time of birth = 150 - 5
Sum at the time of birth = 145
Calculating the average age at the time of birth:
To calculate the average age at the time of the youngest member's birth, we divide the sum at the time of birth by the number of members.
Average at the time of birth = Sum at the time of birth / Number of members
Average at the time of birth = 145 / 6
Average at the time of birth ≈ 24.17
Conclusion:
The average age of the family at the time of the youngest member's birth is approximately 24.17 years, which is closest to the option D) 24.
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Community Answer
In a family of 6 members, the average age of the family at present is ...
Sum of the ages = 6*25 = 150
sum of ages of the family before 5yrs = 5*6 = 30
now 150-30=120
120\5=24 (new born baby is excluded)
sum of ages of the family before 5yrs = 5*6 = 30
now 150-30=120
120\5=24 (new born baby is excluded)
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