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In a company consisting of 20 employees, one employee retires and a new employee of age 23 years joins, resulting a decrease in average age of employees by 3. Find the age of retire employee.

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In a company consisting of 20 employees, one employee retires and a new employee of age 23 years joins, resulting a decrease in average age of employees by 3. Find the age of retire employee.


1). 83 years
2). 65 years
3). 85 years
4). 80 years


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Let the initial average be ‘y’

∴ The initial sum of the ages of the 20 employees was 20y

Let ‘x’ be the age of the person who retired

∴ After the person retires, the sum will be 20y – x + 23

We know that, Sum/(Number of values) = Average

According to the given condition,

⇒ (20y – x + 23)/20 = y – 3

∴ 20y – x + 23 = 20y – 60

∴ x = 83

∴ The age of the person who retired was 83

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