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    Question

    What is the value of 'x' such that, given their current

    ages are in a 3:7 ratio, 'x' years ago, the ratio of 'Adarsh' and 'Malik's ages was 1:3, and if we fast forward two years from now, 'Adarsh's age will be half of 'Malik's current age?
    A 4 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer
    E 12 Correct Answer Incorrect Answer

    Solution

    Let the present ages of 'Adarsh' and 'Malik' be '3a' years and '7a' years, respectively. ATQ: 3a + 2 = 7a ÷ 2 Or, 3a + 2 = 3.5a Or, 2 = 0.5a So, a = 4 So, present age of 'Adarsh' = 3a = 3 × 4 = 12 years And present age of 'Malik' = 7a = 7 × 4 = 28 years ATQ; {(12 - x))/(28 - x)} = (1/3) 3 × (12 - x) = 28 - x Or, 36 - 3x = 28 - x Or, 2x = 8 So, x = 4

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