Question

The average age of 11 people present in a room is increased by 2 years when a new person comes in place of one of them whose age was 45years. What would be the age of the new person?

Answer 1

The age of the new person would be 69 years.

Step-by-step explanation:

To find the age of the new person, we need to understand the change in the average age of the 11 people in the room when the new person is added.

Currently, the average age of the 11 people is 45 years (given that the age of the person being replaced is 45 years).

When the new person is added, the average age increases by 2 years. So, the average age of the 12 people in the room would be 47 years.

Since the average age of the 11 people before the new person was 45 years, the total age of the 11 people would be 11 * 45 = 495 years. Therefore, the total age of the 12 people (including the new person) would be 12 * 47 = 564 years.

To find the age of the new person, we can subtract the total age of the 11 people from the total age of the 12 people: 564 - 495 = 69 years.

Therefore, the age of the new person would be 69 years.