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10 years ago the average age of a family of 4 members was 24 years. Now two more babies were born with age difference of 2 years and average age of the family is still 24. What is the present age of the youngest child?
- a)4 years
- b)6 years
- c)3 years
- d)5 years
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
10 years ago the average age of a family of 4 members was 24 years. No...
Let total age of family be G years.
10 years ago, total age = G – 10 × 4 = G – 40
According to question
G = 24 × 4 + 40 = 136 years
Let present age of youngest child = x
Present age of older child = x + 2
2x + 138 = 24 × 6
2x = 144 – 138 = 6
∴ x = 6/2 = 3 years
∴ Present age of youngest child = 3 years
10 years ago, total age = G – 10 × 4 = G – 40
According to question
G = 24 × 4 + 40 = 136 years
Let present age of youngest child = x
Present age of older child = x + 2
2x + 138 = 24 × 6
2x = 144 – 138 = 6
∴ x = 6/2 = 3 years
∴ Present age of youngest child = 3 years
Most Upvoted Answer
10 years ago the average age of a family of 4 members was 24 years. No...
Understanding the problem:
We are given that 10 years ago, the average age of a family of 4 members was 24 years. Now two more babies were born with an age difference of 2 years, and the average age of the family is still 24. We need to determine the present age of the youngest child.
Solution:
Let's assume the present age of the youngest child is x years.
Step 1: Determine the sum of ages 10 years ago:
10 years ago, the average age of the family was 24 years. Therefore, the sum of ages of the family 10 years ago would be 24 * 4 = 96 years.
Step 2: Determine the sum of ages at present:
Now, let's consider the present age of the two babies. We know that the age difference between them is 2 years. So, the present age of the older baby would be (x + 2) years. The present age of the youngest baby would be x years.
Therefore, the sum of ages at present would be (x + (x + 2) + 24 + 24).
Step 3: Use the given information to form an equation:
According to the problem, the average age of the family is still 24 at present. So, we can write the equation as:
(sum of ages at present) / (number of family members) = 24
Substituting the values, we get:
((x + (x + 2) + 24 + 24) / 6) = 24
Step 4: Solve the equation:
Simplifying the equation, we get:
(2x + 50) / 6 = 24
Multiplying both sides by 6, we get:
2x + 50 = 144
Subtracting 50 from both sides, we get:
2x = 94
Dividing both sides by 2, we get:
x = 47
Step 5: Determine the present age of the youngest child:
Therefore, the present age of the youngest child is 47 years.
Hence, option C (3 years) is the correct answer.
We are given that 10 years ago, the average age of a family of 4 members was 24 years. Now two more babies were born with an age difference of 2 years, and the average age of the family is still 24. We need to determine the present age of the youngest child.
Solution:
Let's assume the present age of the youngest child is x years.
Step 1: Determine the sum of ages 10 years ago:
10 years ago, the average age of the family was 24 years. Therefore, the sum of ages of the family 10 years ago would be 24 * 4 = 96 years.
Step 2: Determine the sum of ages at present:
Now, let's consider the present age of the two babies. We know that the age difference between them is 2 years. So, the present age of the older baby would be (x + 2) years. The present age of the youngest baby would be x years.
Therefore, the sum of ages at present would be (x + (x + 2) + 24 + 24).
Step 3: Use the given information to form an equation:
According to the problem, the average age of the family is still 24 at present. So, we can write the equation as:
(sum of ages at present) / (number of family members) = 24
Substituting the values, we get:
((x + (x + 2) + 24 + 24) / 6) = 24
Step 4: Solve the equation:
Simplifying the equation, we get:
(2x + 50) / 6 = 24
Multiplying both sides by 6, we get:
2x + 50 = 144
Subtracting 50 from both sides, we get:
2x = 94
Dividing both sides by 2, we get:
x = 47
Step 5: Determine the present age of the youngest child:
Therefore, the present age of the youngest child is 47 years.
Hence, option C (3 years) is the correct answer.
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10 years ago the average age of a family of 4 members was 24 years. Now two more babies were born with age difference of 2 years and average age of the family is still 24. What is the present age of the youngest child?a)4 yearsb)6 yearsc)3 yearsd)5 yearsCorrect answer is option 'C'. Can you explain this answer?
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10 years ago the average age of a family of 4 members was 24 years. Now two more babies were born with age difference of 2 years and average age of the family is still 24. What is the present age of the youngest child?a)4 yearsb)6 yearsc)3 yearsd)5 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 10 years ago the average age of a family of 4 members was 24 years. Now two more babies were born with age difference of 2 years and average age of the family is still 24. What is the present age of the youngest child?a)4 yearsb)6 yearsc)3 yearsd)5 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 10 years ago the average age of a family of 4 members was 24 years. Now two more babies were born with age difference of 2 years and average age of the family is still 24. What is the present age of the youngest child?a)4 yearsb)6 yearsc)3 yearsd)5 yearsCorrect answer is option 'C'. Can you explain this answer?.
10 years ago the average age of a family of 4 members was 24 years. Now two more babies were born with age difference of 2 years and average age of the family is still 24. What is the present age of the youngest child?a)4 yearsb)6 yearsc)3 yearsd)5 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 10 years ago the average age of a family of 4 members was 24 years. Now two more babies were born with age difference of 2 years and average age of the family is still 24. What is the present age of the youngest child?a)4 yearsb)6 yearsc)3 yearsd)5 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 10 years ago the average age of a family of 4 members was 24 years. Now two more babies were born with age difference of 2 years and average age of the family is still 24. What is the present age of the youngest child?a)4 yearsb)6 yearsc)3 yearsd)5 yearsCorrect answer is option 'C'. Can you explain this answer?.
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