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    Question

    Ratio of the present ages of Lisa and Mike is 6:x

    respectively. Five years hence from now, the sum of the ages of Lisa and Mike will be 65 years. Six years ago from now, the age of Nancy, who is eight years elder to Mike, was 26 years. Find the value of (x + 5)(x + 6).
    A 30 Correct Answer Incorrect Answer
    B 56 Correct Answer Incorrect Answer
    C 42 Correct Answer Incorrect Answer
    D 25 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Present age of Nancy = 26 + 6 = 32 years Present age of Mike = 32 - 8 = 24 years So, present age of Lisa = 65 - 24 - 5 = 36 years Ratio of present ages of Lisa and Mike respectively = 36:24 = 3:2 So, 'x' = 2 Therefore, required value = (2 + 5) × (2 + 6) = 7 × 8 = 56

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