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The ratio of the ages of A, B and C is 2 : 3 : 1 respectively. If the sum of their ages is 48 years, what is the age of C?
  • a)
    2 years
  • b)
    4 years
  • c)
    6 years
  • d)
    8 years
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The ratio of the ages of A, B and C is 2 : 3 : 1 respectively. If the ...

Hence, Option D is correct.
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Most Upvoted Answer
The ratio of the ages of A, B and C is 2 : 3 : 1 respectively. If the ...
Understanding the Problem
To find C's age given the ratio of A, B, and C's ages, we first need to break down the information provided.
Given Ratios
- The ratio of ages of A, B, and C is 2:3:1.
- This means if we let A's age be 2x, B's age be 3x, and C's age be x, where x is a common multiplier.
Sum of Ages
- The problem states that the sum of their ages is 48 years.
- Therefore, we can set up the equation:
- 2x + 3x + x = 48
Simplifying the Equation
- Combine the terms:
- 6x = 48
Solving for x
- Now, divide both sides by 6:
- x = 48 / 6
- x = 8
Finding Individual Ages
- Now that we have x, we can find the ages:
- A's age = 2x = 2 * 8 = 16 years
- B's age = 3x = 3 * 8 = 24 years
- C's age = x = 8 years
Conclusion
- Thus, the age of C is 8 years.
Therefore, the correct answer is option 'D'.
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Question Description
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