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    The average age of A, B and C is 20 years. Two years ago, the sum of the ages of A and B was 6 more than that of C. Find the present age of C.
    Question

    The average age of A, B and C is 20 years. Two years ago, the sum of the ages of A and B was 6 more than that of C. Find the present age of C.

    A.

    29 years

    B.

    25 years

    C.

    26 years

    D.

    28 years

    Correct option is C

    Given:
    Average age of A, B and C = 20 years
    Concept  Used:
    Average: The average of a group of numbers is the sum of the numbers divided by the number of elements in the group.
    Algebraic Equations: Formulating and solving equations based on the given conditions.
    Solution:
    As per the question;
    Average age of A, B and C = 20 years
    Sum of present ages of A, B and C = 20 × 3 = 60 years
    Sum of ages of A, B and C, 2 years ago = 60 – 2 × 3 = 54 years
    2 years Ago, sum of ages of A and B is 6 years more than that of C.
    Now, age of C before 2 years = (54 - 6)/2 = 24 years
    So,
    Present age of C = 24 + 2 = 26 years.

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