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The average age of a man and his son is 33 years. The ratio of their ages is 8 : 3 respectively. What is the man's age?
  • a)
    48 years
  • b)
    44 years
  • c)
    42 years
  • d)
    50 years
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average age of a man and his son is 33 years. The ratio of their a...
Total age of the father and the son
= 2 x 33
= 66 years
Ratio in Father's age and son's age
= 8 : 3
∴ Father's age = 8 x 66/8 + 3
= 48 years
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Most Upvoted Answer
The average age of a man and his son is 33 years. The ratio of their a...
Understanding the Problem
The problem states that the average age of a man and his son is 33 years and their ages are in the ratio of 8:3. We need to find the man's age.
Calculating the Total Age
- The average age is given as 33 years.
- Since the average is calculated as (sum of ages) / 2, we can find the total age.
- Total age of the man and his son = 33 * 2 = 66 years.
Using the Age Ratio
- The ratio of their ages is 8:3.
- This means if we let the man's age be 8x and the son's age be 3x, then we can express their total age as:
- 8x + 3x = 11x.
Setting Up the Equation
- We know from the total age calculation that:
- 11x = 66 years.
Solving for x
- Now, divide both sides by 11:
- x = 66 / 11 = 6.
Finding Individual Ages
- Substitute x back to find their ages:
- Man's age = 8x = 8 * 6 = 48 years.
- Son's age = 3x = 3 * 6 = 18 years.
Conclusion
- The man is 48 years old, confirming that the correct answer is option 'A'.
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The average age of a man and his son is 33 years. The ratio of their ages is 8 : 3 respectively. What is the mans age?a)48 yearsb)44 yearsc)42 yearsd)50 yearsCorrect answer is option 'A'. Can you explain this answer?
Question Description
The average age of a man and his son is 33 years. The ratio of their ages is 8 : 3 respectively. What is the mans age?a)48 yearsb)44 yearsc)42 yearsd)50 yearsCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The average age of a man and his son is 33 years. The ratio of their ages is 8 : 3 respectively. What is the mans age?a)48 yearsb)44 yearsc)42 yearsd)50 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of a man and his son is 33 years. The ratio of their ages is 8 : 3 respectively. What is the mans age?a)48 yearsb)44 yearsc)42 yearsd)50 yearsCorrect answer is option 'A'. Can you explain this answer?.
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