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    Question

    David’s current age is five years less than one-half

    of his uncle's present age. After 6 years, his age will be 25% of his uncle’s age. What will David’s age be 4 years from now?
    A 8 yrs Correct Answer Incorrect Answer
    B 4 yrs Correct Answer Incorrect Answer
    C 16 yrs Correct Answer Incorrect Answer
    D 12 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the current ages of David and his uncle be ‘a’ and ‘b’ years respectively.

    So, a = (b/2) - 5

    Or, b = 2a + 10 ------- (I)

    And, a + 6 = 0.25 × (b + 6)

    Or, a + 6 = 0.25 × (2a + 10 + 6) [from equation I]

    Or, a + 6 = 0.25 × (2a + 16)

    Or, a + 6 = 0.5a + 4

    Or, 0.5a = 2

    Or, a = 4

    Required age = 4 + 4 = 8 years

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