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    Question

    Four years ago, the combined ages of Linda and Joan was

    56 years. Four years hence, the ratio of their ages will be 4:5. Find the current age of Linda.
    A 20 yrs Correct Answer Incorrect Answer
    B 28 yrs Correct Answer Incorrect Answer
    C 14 yrs Correct Answer Incorrect Answer
    D 32 yrs Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the future ages of Linda and Joan be 4x and 5x respectively, four years from now. The sum of their ages four years from now = 4x+5x = 9x. Four years ago, the sum of their ages = 56. Their combined ages today = 56+8 = 64. 9x = 64+8 = 72. Solving for x, 9x = 72 = x = 8 Age of Linda four years from now = 4x = 4×8 = 32 years. Current age of Linda = 32−4 = 28 years.

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