There are 12 workers in an office and the average age of all workers is years. A new worker joins the office, the average becomes 37 years. The current age of the newly joined worker is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 55 years.
We know that,
Average = Sum of observations/Number of observations
Hence,
⇒ = Sum/12
⇒ Sum = 426
The new average = 37
⇒ 37 = (Sum + age of new worker)/13
⇒ 481 = 426 + age of new worker
Age of new worker = 55
Hence, the current age of the newly joined worker is 55 years.