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    Question

    Present age of A is 50% more than that of B. Present age

    of C, who is 6 years older than B, is 24 years. After how many years from now, ratio of ages of A to B will become 11:8?
    A 10 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Present age of B = 24 - 6 = 18 years
    Present age of A = 1.5 × 18 = 27 years
    Let the required time be T years.
    So, (27 + T) : (18 + T) = 11 : 8
    Or, 8 × (27 + T) = 11 × (18 + T)
    Or, 216 + 8T = 198 + 11T
    Or, 3T = 18
    Or, T = 6

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