Question
In a company, the average age of 40 employees is 20
years. When the ages of two managers, one 'a' years old and the other 'a + 10' years old, are included, the average age of the entire group increases by 1 year. What is the age of the older manager?Solution
ATQ, Total age of 40 employees = 40 × 20 = 800 years Total age of 42 people (employees + Managers) = 42 × 21 = 882 years Age of manager = 882 – 800 = 82 years According to the question, a + a + 10 = 82 2a = 72 a = 36 Hence Required age = 46 years
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