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    Question

    20 years ago, the age of β€˜I’ was 50% more than

    β€˜J’. If the sum of their present ages is 90 years, then find the present age of β€˜I’.
    A 25 yrs Correct Answer Incorrect Answer
    B 50 yrs Correct Answer Incorrect Answer
    C 61 yrs Correct Answer Incorrect Answer
    D 81 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present ages of β€˜I’ and β€˜J’ be (x + 20) years and (y + 20) years, respectively.

    ATQ;

    x = 1.50 Γ— y = 1.5y ………………. (1)

    Also, x + 20 + y + 20 = 90

    Or, x + y = 50 ……………. (2)

    Putting x = 1.5y from equation (1), we have

    1.5y + y = 50

    Or, 2.5y = 50

    So, y = 50 Γ· 2.5 = 20

    So, x = 50 – 20 = 30

    Therefore, present age of β€˜I’ = 30 + 20 = 50 years.

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