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.
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