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    Question

    Average age of company A is 21 years and average age of

    both companies A and B is 13 years. If the ratio of number of employees in company A and B is 3:8, then what is the average age of company B?
    A 14 years Correct Answer Incorrect Answer
    B 10 years Correct Answer Incorrect Answer
    C 18 years Correct Answer Incorrect Answer
    D 15 years Correct Answer Incorrect Answer
    E 12 years Correct Answer Incorrect Answer

    Solution

    Given Data: Average age of company A = 21 years Average age of both companies A and B = 13 years Ratio of employees in A : B = 3:8 Assume Number of Employees Let = Employees in A = 3x and Employees in B = 8x Find Total Age Contributions Total age sum of A = 21×3x=63x Total age sum of B = y×8x (where y is the average age of B) The combined average formula is:

    Solve for y Multiply both sides by 11x:

    63x+8xy = 143x Cancel x: 63+8y = 143 8y = 80 y = 10 The average age of company B is 10 years.

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