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The ages of 5 persons are in AP. The youngest person was 31 years old while the oldest person was 39 years old. What is the average age of the 5 persons?
  • a)
    33
  • b)
    34
  • c)
    35
  • d)
    36
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ages of 5 persons are in AP. The youngest person was 31 years old ...
Given that their ages are in AP and least age is 31 and highest age is 39
1st term = a = 31
5th term = l = 39
So the answer is option C.
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Most Upvoted Answer
The ages of 5 persons are in AP. The youngest person was 31 years old ...

Given Information:
- The ages of 5 persons are in AP.
- The youngest person was 31 years old.
- The oldest person was 39 years old.

Calculation:
- Let the common difference between the ages be 'd'.
- The ages of the 5 persons can be represented as 31, 31 + d, 31 + 2d, 31 + 3d, and 31 + 4d.
- According to the given information, the oldest person was 39 years old. Therefore, 31 + 4d = 39.
- Solving for 'd', we get d = 2.
- The ages of the 5 persons are 31, 33, 35, 37, and 39.

Average Age:
- To find the average age, we sum up all the ages and divide by the total number of persons.
- Average age = (31 + 33 + 35 + 37 + 39) / 5
- Average age = 175 / 5
- Average age = 35

Therefore, the average age of the 5 persons is 35 years old. Hence, the correct answer is option 'c) 35'.
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The ages of 5 persons are in AP. The youngest person was 31 years old while the oldest person was 39 years old. What is the average age of the 5 persons?a)33b)34c)35d)36Correct answer is option 'C'. Can you explain this answer?
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