The average age of a group of 4 people increases by 2 years when one person aged 24 years leaves and another person joins. What is the age of the new person?
Show answer & explanation
Correct answer: B
Explanation
Given:
Number of people in the group = 4
Age of one person = 24 years
Increase in average age = 2 years
By the formula:
Total age = Average × Number of people
Increase in average = 2
Increase in total age = 4 × 2 = 8
Let the age of the new person = x
Change = x − 24
x − 24 = 8
x = 32 years