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The average age of Manan, Shaket and Dileep is 48 years. If the ratio of the age of Manan to that of Shaket to that of Dileep is 6 : 7 : 5, what is the difference between the ages of Manan and Dileep?
  • a)
    4 years
  • b)
    5 years
  • c)
    6 years
  • d)
    8 years
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The average age of Manan, Shaket and Dileep is 48 years. If the ratio ...
Sum of their ages = 48 × 3 = 144 years

Hence, Option D is correct.
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Most Upvoted Answer
The average age of Manan, Shaket and Dileep is 48 years. If the ratio ...
Understanding the Problem
The average age of Manan, Shaket, and Dileep is given as 48 years. The ratio of their ages is 6:7:5. We need to find the difference between the ages of Manan and Dileep.
Step 1: Calculate Total Age
- Since the average age is 48 years, we can calculate the total age of the three individuals.
- Total age = Average age × Number of individuals
- Total age = 48 × 3 = 144 years
Step 2: Express Ages in Terms of Ratio
- Let the ages of Manan, Shaket, and Dileep be represented as:
- Manan's age = 6x
- Shaket's age = 7x
- Dileep's age = 5x
Step 3: Set Up the Equation
- According to the total age calculated:
- 6x + 7x + 5x = 144
- 18x = 144
Step 4: Solve for x
- To find x, divide the total age by the sum of the ratio parts:
- x = 144 / 18 = 8
Step 5: Determine Individual Ages
- Now, we can find the individual ages:
- Manan's age = 6x = 6 × 8 = 48 years
- Shaket's age = 7x = 7 × 8 = 56 years
- Dileep's age = 5x = 5 × 8 = 40 years
Step 6: Calculate the Difference
- The difference between Manan's and Dileep's ages is:
- Difference = Manan's age - Dileep's age = 48 - 40 = 8 years
Conclusion
Thus, the difference between the ages of Manan and Dileep is 8 years, which is option 'D'.
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Question Description
The average age of Manan, Shaket and Dileep is 48 years. If the ratio of the age of Manan to that of Shaket to that of Dileep is 6 : 7 : 5, what is the difference between the ages of Manan and Dileep?a)4 yearsb)5 yearsc)6 yearsd)8 yearsCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The average age of Manan, Shaket and Dileep is 48 years. If the ratio of the age of Manan to that of Shaket to that of Dileep is 6 : 7 : 5, what is the difference between the ages of Manan and Dileep?a)4 yearsb)5 yearsc)6 yearsd)8 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of Manan, Shaket and Dileep is 48 years. If the ratio of the age of Manan to that of Shaket to that of Dileep is 6 : 7 : 5, what is the difference between the ages of Manan and Dileep?a)4 yearsb)5 yearsc)6 yearsd)8 yearsCorrect answer is option 'D'. Can you explain this answer?.
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