The average age of 14 persons is 13 years. If the age of 15th persons is added, then the average remains same. What is the age (in years) of the 15th person?

Correct option is C

Given:
Average age of 14 persons = 13 years
Average remains the same when the 15th person is added.
Formula Used:
Total age = Average × Number of persons
Solution:
Calculate the total age of the 14 persons:
14 × 13 = 182
When the 15th person is added, the new total number of persons is 15. The average age remains 13 years.
Calculate the total age of the 15 persons:
15 × 13 = 195
Calculate the age of the 15th person by subtracting the total age of 14 persons from the total age of 15 persons:
195 - 182 = 13
Final Answer
So the correct answer is (c)