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The average age of a family of 5 members is 20 years. If the age of the youngest member be 5 years, what was the average age of the family at the birth of the youngest member?
  • a)
    15.25
  • b)
    18.75
  • c)
    21.25
  • d)
    12.50
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The average age of a family of 5 members is 20 years. If the age of th...
Total age (at present) = 5 ¥ 20 = 100 years. Total age of the family excluding the youngest member (for the remaining 5 people) = 100 –5 = 95. Average age
of the other 4 people in the family = 95/4 years.
5 years ago their average age = 95/4 – 5 = 75/4 = 18.75 years.
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Community Answer
The average age of a family of 5 members is 20 years. If the age of th...
Let's solve this problem step by step:

Given:
- The average age of a family of 5 members is 20 years.
- The age of the youngest member is 5 years.

Step 1: Find the sum of the ages of all family members.
Since the average age of the family is 20 years, we can find the sum of their ages by multiplying the average age by the number of family members.
Sum of ages of all family members = Average age * Number of family members
Sum of ages of all family members = 20 * 5 (as there are 5 family members)
Sum of ages of all family members = 100 years

Step 2: Find the sum of ages of the family members at the birth of the youngest member.
To find this, we need to subtract the age of the youngest member from the sum of the ages of all family members.
Sum of ages at the birth of the youngest member = Sum of ages of all family members - Age of the youngest member
Sum of ages at the birth of the youngest member = 100 - 5
Sum of ages at the birth of the youngest member = 95 years

Step 3: Find the average age of the family at the birth of the youngest member.
To find the average age, we divide the sum of ages at the birth of the youngest member by the number of family members.
Average age at the birth of the youngest member = Sum of ages at the birth of the youngest member / Number of family members
Average age at the birth of the youngest member = 95 / 5
Average age at the birth of the youngest member = 19 years

Therefore, the average age of the family at the birth of the youngest member is 19 years. However, none of the given options match this answer. So, it seems there might be an error in the options given.
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The average age of a family of 5 members is 20 years. If the age of the youngest member be 5 years, what was the average age of the family at the birth of the youngest member?a)15.25b)18.75c)21.25d)12.50Correct answer is option 'B'. Can you explain this answer?
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The average age of a family of 5 members is 20 years. If the age of the youngest member be 5 years, what was the average age of the family at the birth of the youngest member?a)15.25b)18.75c)21.25d)12.50Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The average age of a family of 5 members is 20 years. If the age of the youngest member be 5 years, what was the average age of the family at the birth of the youngest member?a)15.25b)18.75c)21.25d)12.50Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a family of 5 members is 20 years. If the age of the youngest member be 5 years, what was the average age of the family at the birth of the youngest member?a)15.25b)18.75c)21.25d)12.50Correct answer is option 'B'. Can you explain this answer?.
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