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3 years back the average age of a family of 4 members was 24 years. A baby having been born, the average age of the family is still same. What is the present age of the baby?
- a)14 years
- b)16 years
- c)12 years
- d)10 years
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
3 years back the average age of a family of 4 members was 24 years. A ...
Let total age of family be G years.
3 years back, total age = G – 3 × 4 = G – 12
According to question,
∴ G = 24 × 4 + 12 = 108 years
Let present age of baby = x
⇒ 108 + x = 120
∴ x = 120 – 108 = 12 years
3 years back, total age = G – 3 × 4 = G – 12
According to question,
∴ G = 24 × 4 + 12 = 108 years
Let present age of baby = x
⇒ 108 + x = 120
∴ x = 120 – 108 = 12 years
Most Upvoted Answer
3 years back the average age of a family of 4 members was 24 years. A ...
Given information:
- 3 years back, the average age of a family of 4 members was 24 years.
- A baby has been born, and the average age of the family is still the same.
Let's assume the present age of the baby as x years.
Calculating the total age of the family:
- 3 years ago, the average age of the family was 24 years. So, the total age of the family 3 years ago would be 4 * 24 = 96 years.
- Now, after 3 years, the total age of the family would be 96 + 4 * 3 = 108 years. This is because each member of the family has aged 3 years in this time period.
Calculating the present total age of the family:
- Since the average age of the family is still the same after the birth of the baby, the total age of the family at present is also 108 years.
Calculating the present total age of the family with the baby:
- The present total age of the family without the baby would be 3 * 24 = 72 years (3 years ago).
- The present total age of the family with the baby would be 72 + x (present age of the baby).
- Since the average age of the family is still the same after the baby's birth, the total age of the family with the baby would also be 108 years.
Setting up the equation and solving for x:
72 + x = 108
x = 108 - 72
x = 36
Therefore, the present age of the baby is 36 years, which is not given as an option. Hence, there seems to be an error in the question or options provided.
None of the given options (a, b, c, d) is correct.
- 3 years back, the average age of a family of 4 members was 24 years.
- A baby has been born, and the average age of the family is still the same.
Let's assume the present age of the baby as x years.
Calculating the total age of the family:
- 3 years ago, the average age of the family was 24 years. So, the total age of the family 3 years ago would be 4 * 24 = 96 years.
- Now, after 3 years, the total age of the family would be 96 + 4 * 3 = 108 years. This is because each member of the family has aged 3 years in this time period.
Calculating the present total age of the family:
- Since the average age of the family is still the same after the birth of the baby, the total age of the family at present is also 108 years.
Calculating the present total age of the family with the baby:
- The present total age of the family without the baby would be 3 * 24 = 72 years (3 years ago).
- The present total age of the family with the baby would be 72 + x (present age of the baby).
- Since the average age of the family is still the same after the baby's birth, the total age of the family with the baby would also be 108 years.
Setting up the equation and solving for x:
72 + x = 108
x = 108 - 72
x = 36
Therefore, the present age of the baby is 36 years, which is not given as an option. Hence, there seems to be an error in the question or options provided.
None of the given options (a, b, c, d) is correct.
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3 years back the average age of a family of 4 members was 24 years. A baby having been born, the average age of the family is still same. What is the present age of the baby?a)14 yearsb)16 yearsc)12 yearsd)10 yearsCorrect answer is option 'C'. Can you explain this answer?
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3 years back the average age of a family of 4 members was 24 years. A baby having been born, the average age of the family is still same. What is the present age of the baby?a)14 yearsb)16 yearsc)12 yearsd)10 yearsCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about 3 years back the average age of a family of 4 members was 24 years. A baby having been born, the average age of the family is still same. What is the present age of the baby?a)14 yearsb)16 yearsc)12 yearsd)10 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3 years back the average age of a family of 4 members was 24 years. A baby having been born, the average age of the family is still same. What is the present age of the baby?a)14 yearsb)16 yearsc)12 yearsd)10 yearsCorrect answer is option 'C'. Can you explain this answer?.
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