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    Question

    Five years back, the age ratio of Meera and Sanya was

    11:13. Five years from now, the ratio becomes 13:15. What is the average of their present ages?
    A 60 yrs Correct Answer Incorrect Answer
    B 50 yrs Correct Answer Incorrect Answer
    C 75 yrs Correct Answer Incorrect Answer
    D 25 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let present age of Meera and Sanya be P years and Q years respectively.

    According to question,

    (P – 5)/(Q – 5) = 11/13

    3P – 65 = 11Q – 55

    13P – 11Q = 10 ………………….(1)

    And, (P + 5)/(Q + 5) = 13/15

    15P + 75 = 13Q + 65

    13Q – 15P = 10 …………………..(2)

    Solving equation (1) and (2), we get

    P = 55 and Q = 65

    Average present age of Meera and Sanya = (55 + 65)/2 = 120/2 = 60 years

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