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    Question

    The current ages of 'A' and 'B' are 'p' years and 'q'

    years respectively. Five years ago, their total age was 40 years. If the average of 'p' and 31 exceeds the average of 'q' and 31 by 4 years, then find the age of 'A' after 3 years.
    A 25 yrs Correct Answer Incorrect Answer
    B 29 yrs Correct Answer Incorrect Answer
    C 32 yrs Correct Answer Incorrect Answer
    D 40 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Five years ago: → (p - 5) + (q - 5) = 40 → p + q = 40 + 10 = 50 -------- (i) Given: → (p + 31)/2 = (q + 31)/2 + 4 → p + 31 = q + 31 + 8 → p = q + 8 Substituting in equation (i): → q + 8 + q = 50 → 2q = 42 → q = 21 → p = 21 + 8 = 29 Therefore, A’s age after 3 years = 29 + 3 = 32 years

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