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    Question

    The ratio of the current ages of ‘A’ and ‘B’ is

    4:7, while the ratio of the current ages of ‘B’ and ‘C’ is 3:2. If the difference between the present ages of ‘B’ and ‘A’ is 18 years, determine the age of ‘C’ five years ago.
    A 23 yrs Correct Answer Incorrect Answer
    B 28 yrs Correct Answer Incorrect Answer
    C 32 yrs Correct Answer Incorrect Answer
    D 42 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present age of ‘B’ be 7x years. So, the present age of ‘A’ = (4/7) × 7x = 4x years The present age of ‘C’ = (2/3) × 7x = (14x/3) years According to the given information: 7x - 4x = 18 ⇒ x = 6 So, present age of ‘C’ = (14/3) × 6 = 28 years Age of ‘C’ five years ago = 28 - 5 = 23 years

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