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    In a group of 22 men, two men whose average age is 58 years are replaced by two new men. If the average age of the group decreases by 2 years, then wh
    Question

    In a group of 22 men, two men whose average age is 58 years are replaced by two new men. If the average age of the group decreases by 2 years, then what is the average age of two new men?

    A.

    37 years

    B.

    32 years

    C.

    35 years

    D.

    36 years

    Correct option is D

    Given:
    Initial average age of group = A
    Total men = 22
    Average age decrease = 2 years
    Average age of the two old men = 58 years
    Formula Used:
    Total age of group before replacement = 22 × A
    Total age after replacement = 22 × (A - 2)
    Solution:
    Total age decreased = 22 × 2 = 44 years
    Age of two old men = 58 × 2 = 116 years
    Age of two new men = 116 - 44 = 72 years
    Average age of two new men = 72 ÷ 2 = 36 years

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