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The average age of A, B, C and D is 20 years and their ages are in Arithmetic progression. If the youngest among them is 15 years old, what is the age of the oldest one?
- a)15 years
- b)20 years
- c)21 years
- d)25 years
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The average age of A, B, C and D is 20 years and their ages are in Ari...
Since their ages are in Arithmetic progression, the average age of the youngest and oldest must be 20 years.
15 + The age of the oldest one = 20 × 2
The age of the oldest one = 40 – 15 = 25 years
Hence, Option D is correct.
15 + The age of the oldest one = 20 × 2
The age of the oldest one = 40 – 15 = 25 years
Hence, Option D is correct.
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Community Answer
The average age of A, B, C and D is 20 years and their ages are in Ari...
Understanding the Problem
To find the age of the oldest person among A, B, C, and D, we need to analyze the information provided:
- The average age of A, B, C, and D is 20 years.
- Their ages are in Arithmetic Progression (AP).
- The youngest among them is 15 years old.
Calculating the Total Age
- Since the average age is 20 years, the total age of all four individuals can be calculated as follows:
- Total age = Average age × Number of individuals
- Total age = 20 years × 4 = 80 years
Setting Up the Arithmetic Progression
- Let the ages of A, B, C, and D in AP be represented as:
- Youngest (A) = 15 years
- Next (B) = 15 + d
- Next (C) = 15 + 2d
- Oldest (D) = 15 + 3d
where "d" is the common difference of the AP.
Formulating the Equation
- The total age can be expressed as:
- A + B + C + D = 15 + (15 + d) + (15 + 2d) + (15 + 3d)
- This simplifies to:
60 + 6d = 80
Solving for 'd'
- Rearranging the equation gives:
- 6d = 80 - 60
- 6d = 20
- d = 20 / 6 = 10/3 years
Finding the Ages
- Now we can calculate the ages:
- A = 15 years
- B = 15 + 10/3 = 25/3 ≈ 8.33 (not relevant)
- C = 15 + 20/3 = 35/3 ≈ 11.67 (not relevant)
- D = 15 + 30/3 = 25 years
Conclusion
- The age of the oldest individual (D) is **25 years**. Thus, the correct answer is option **D**.
To find the age of the oldest person among A, B, C, and D, we need to analyze the information provided:
- The average age of A, B, C, and D is 20 years.
- Their ages are in Arithmetic Progression (AP).
- The youngest among them is 15 years old.
Calculating the Total Age
- Since the average age is 20 years, the total age of all four individuals can be calculated as follows:
- Total age = Average age × Number of individuals
- Total age = 20 years × 4 = 80 years
Setting Up the Arithmetic Progression
- Let the ages of A, B, C, and D in AP be represented as:
- Youngest (A) = 15 years
- Next (B) = 15 + d
- Next (C) = 15 + 2d
- Oldest (D) = 15 + 3d
where "d" is the common difference of the AP.
Formulating the Equation
- The total age can be expressed as:
- A + B + C + D = 15 + (15 + d) + (15 + 2d) + (15 + 3d)
- This simplifies to:
60 + 6d = 80
Solving for 'd'
- Rearranging the equation gives:
- 6d = 80 - 60
- 6d = 20
- d = 20 / 6 = 10/3 years
Finding the Ages
- Now we can calculate the ages:
- A = 15 years
- B = 15 + 10/3 = 25/3 ≈ 8.33 (not relevant)
- C = 15 + 20/3 = 35/3 ≈ 11.67 (not relevant)
- D = 15 + 30/3 = 25 years
Conclusion
- The age of the oldest individual (D) is **25 years**. Thus, the correct answer is option **D**.
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The average age of A, B, C and D is 20 years and their ages are in Arithmetic progression. If the youngest among them is 15 years old, what is the age of the oldest one?a)15 yearsb)20 yearsc)21 yearsd)25 yearsCorrect answer is option 'D'. Can you explain this answer?
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The average age of A, B, C and D is 20 years and their ages are in Arithmetic progression. If the youngest among them is 15 years old, what is the age of the oldest one?a)15 yearsb)20 yearsc)21 yearsd)25 yearsCorrect answer is option 'D'. Can you explain this answer? for SSC CGL 2024 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 A, B, C and D is 20 years and their ages are in Arithmetic progression. If the youngest among them is 15 years old, what is the age of the oldest one?a)15 yearsb)20 yearsc)21 yearsd)25 yearsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of A, B, C and D is 20 years and their ages are in Arithmetic progression. If the youngest among them is 15 years old, what is the age of the oldest one?a)15 yearsb)20 yearsc)21 yearsd)25 yearsCorrect answer is option 'D'. Can you explain this answer?.
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