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The average age of 8 persons is increased by 2 yrs, when one of them, whose age is 24 yrs is replaced by a new person. The age of the new person is
  • a)
    42 yrs
  • b)
    40 yrs
  • c)
    38 yrs
  • d)
    45 yrs
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The average age of 8 persons is increased by 2 yrs, when one of them, ...
Solution:

Let's assume the sum of the ages of the 8 persons is X.

According to the given information:
Average age of the 8 persons = X/8

When one person, whose age is 24 years, is replaced by a new person, the average age of the 8 persons increases by 2 years.

So, the new average age of the 8 persons = (X + 2)/8

We can write the equation as:
(X + 2)/8 = X/8 + 2

Simplifying the equation:
(X + 2)/8 - X/8 = 2

Multiplying through by 8:
(X + 2) - X = 16

Simplifying the equation:
2 = 16

This is not possible, as we have arrived at a contradiction.

Hence, there is no solution to this equation.

Therefore, the given question is incorrect and does not have a valid answer.

Note: It is important to carefully analyze the information provided in the question and check for any contradictions or inconsistencies. In this case, we arrived at a contradiction, indicating that the question is flawed.
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Community Answer
The average age of 8 persons is increased by 2 yrs, when one of them, ...
Option C
age of new person =8×2+24=16+24=40years
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The average age of 8 persons is increased by 2 yrs, when one of them, whose age is 24 yrs is replaced by a new person. The age of the new person isa) 42 yrs b) 40 yrs c) 38 yrs d) 45 yrs Correct answer is option 'B'. Can you explain this answer?
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The average age of 8 persons is increased by 2 yrs, when one of them, whose age is 24 yrs is replaced by a new person. The age of the new person isa) 42 yrs b) 40 yrs c) 38 yrs d) 45 yrs Correct answer is option 'B'. 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 8 persons is increased by 2 yrs, when one of them, whose age is 24 yrs is replaced by a new person. The age of the new person isa) 42 yrs b) 40 yrs c) 38 yrs d) 45 yrs Correct answer is option 'B'. 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 8 persons is increased by 2 yrs, when one of them, whose age is 24 yrs is replaced by a new person. The age of the new person isa) 42 yrs b) 40 yrs c) 38 yrs d) 45 yrs Correct answer is option 'B'. Can you explain this answer?.
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