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    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?

    A 52 yrs Correct Answer Incorrect Answer
    B 35 yrs Correct Answer Incorrect Answer
    C 45 yrs Correct Answer Incorrect Answer
    D 46 yrs Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    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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