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?
32
Given: a group of 4 people whose average age rises by 2 years when a 24-year-old leaves and a new person joins. We need the new person's age.
The group size stays 4, so the increase in the total age equals \(4 \times 2 = 8\) years.
This rise in total age comes entirely from replacing the 24-year-old with the new person.
So (new person's age) \(-\) (age of person who left) \(= 8\).
Therefore new person's age \(= 24 + 8\).
This equals \(32\) years.
Hence the age of the new person is 32 years.
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