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 The average age of a group of persons going for tour to Shimla is 22 years. 25 new persons with an average age of 10 years join the group and their average age becomes 12 years. The number of persons initially going for tour is?
  • a)
    10
  • b)
    8
  • c)
    7
  • d)
    5
  • e)
    4
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The average age of a group of persons going for tour to Shimla is 22 y...
Answer – D. 5 Explanation: Initial number of persons = x = 22x + 25 * 10 – 12(x + 25) = 22x + 250 – 12x – 300 10x = 50 x = 5
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The average age of a group of persons going for tour to Shimla is 22 y...
Given:
- The average age of a group of persons going for tour to Shimla is 22 years.
- 25 new persons with an average age of 10 years join the group and their average age becomes 12 years.

To find:
- The number of persons initially going for tour.

Solution:
Let the initial number of persons be 'x'.
The total age of the initial group would be 22x.
After the new persons joined, the total age of the group became 12(x+25).

We can form an equation based on the above information:
22x + 10(25) = 12(x+25)

Simplifying the equation:
22x + 250 = 12x + 300
10x = 50
x = 5

Therefore, the initial number of persons going for the tour was 5.

Answer: Option D.
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