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Five years ago, the average age of a family, which consisted of three members, was 27 years. The family now consists of four members as a baby was born recently. The current average age of the family is 25 years. How many years ago was the baby born?
  • a)
    1 year ago
  • b)
    2 years ago
  • c)
    3 years ago
  • d)
    4 years ago
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Five years ago, the average age of a family, which consisted of three ...
Average age of the family 5 years ago (3 members) = 27 years
Sum of the ages of the 3 older members now= (27 + 5) × 3 = 96 years
Average age of the family now (4 members) = 25 years
Sum of the ages of the 4 numbers of the family now = 25 ×4 = 100 years
So, Age of child = 100 – 96 = 4 years
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Most Upvoted Answer
Five years ago, the average age of a family, which consisted of three ...
Given Information:
- Five years ago, the average age of a family, which consisted of three members, was 27 years.
- The family now consists of four members as a baby was born recently.
- The current average age of the family is 25 years.

Let's solve the problem step by step:

Step 1: Find the total age of the family five years ago.
- Five years ago, the average age of the family was 27 years.
- The family consisted of three members.
- So, the total age of the family five years ago was 27 * 3 = 81 years.

Step 2: Find the total age of the family currently.
- The current average age of the family is 25 years.
- The family consists of four members.
- So, the total age of the family currently is 25 * 4 = 100 years.

Step 3: Find the age of the baby.
- The total age of the family five years ago was 81 years.
- The total age of the family currently is 100 years.
- The difference between the total ages is due to the birth of the baby.
- So, the age of the baby is 100 - 81 = 19 years.

Step 4: Calculate how many years ago the baby was born.
- Let's assume the baby was born x years ago.
- Five years ago, the family consisted of three members, so the total age was 27 * 3 = 81 years.
- x years ago, the family consisted of four members (including the baby), so the total age was (27 * 3) + (x * 4) = 81 + 4x years.
- The total age of the family currently is 100 years.
- So, (81 + 4x) + 5 = 100.
- Simplifying the equation, we get 4x = 14.
- Therefore, x = 14/4 = 3.5.

Conclusion:
- The baby was born 3.5 years ago.
- Since the number of years must be a whole number, the baby was born approximately 4 years ago.
- Therefore, the correct answer is option 'D' - 4 years ago.
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Five years ago, the average age of a family, which consisted of three members, was 27 years. The family now consists of four members as a baby was born recently. The current average age of the family is 25 years. How many years ago was the baby born?a)1 year agob)2 years agoc)3 years agod)4 years agoCorrect answer is option 'D'. Can you explain this answer?
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