The average age of a group of 15 employees is 24 years If 5 more employees join the group the averag...........

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The average age of a group of 15 employees is 24 years. If 5 more employees join the group, the average age increases by 2 years. Find the average age of the new employees.

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Explanation:

Method I: Total age of 15 employees = 15 × 24 = 360
Total age of 20 employees = 20 × 26 = 520
Let the average age of 5 new employees be x.
Therefore, the total age of the new employees = 5x
Hence, the total age of 20 employees = 360 + 5x
∴   520 = 360 + 5x
∴   160 = 5x
∴   x = 32
The average age of the new employees = 32
Method II: Average age increased by 2 years i.e. 24 + 2 = 26 years
Total increment in Group's age (15 + 5) × 2 = 40 years
Now, avg age of new employees = 24 + 40 /5 = 32 years