Correct Answer - Option 2 : 45
Given:
Average of 12 people = 32 years
Average of 13 people = 33 years
Formula used:
Average = sum of values/number of values
Calculation:
Average age of 12 people = 32 years
Total age of 12 people = 12 × 32
⇒ 384
The age of one person is added, the average increases by one year
The average of 13 people = 33
Total age of 13 people = 33 × 13
⇒ 429
New person age = sum of 13 persons age - the sum of 12 persons
⇒ New person age = 429 - 384
⇒ 45
∴ The age of the new person is 45 years.