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    Question

    The current ages of R, S, and T are in the ratio 2:3:6. The

    difference between the ages of R and T is 40 years. After ‘m’ years, age of S will be 50% more than R’s age. Find the value of ‘m’.
    A 10 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 28 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let present ages of R, S and T be 2x, 3x and 6x years respectively.

    ATQ,

    6x - 2x = 40

    => x = 10

    Present age of R = 2x = 2 × 10 = 20 years

    Present age of S = 3x = 3 × 10 = 30 years

    ATQ,

    (20 + m) × 1.5 = (30 + m)

    30 + 1.5m = 30 + m

    => 1.5m - m = 0

    => 0.5m = 0

    => m = 0

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