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    Question

    The combined current ages of Rajesh and Ramesh total 77

    years. One year ago, the ratio of their ages was 7:8, with Rajesh being 7 parts and Ramesh being 8 parts of their respective ages. What is the present age of Ramesh?
    A 37 years Correct Answer Incorrect Answer
    B 33 years Correct Answer Incorrect Answer
    C 49 years Correct Answer Incorrect Answer
    D 41 years Correct Answer Incorrect Answer

    Solution

    Let the present age of Rajesh = 'y' years Then, present age of Ramesh = (77 - y) years According to the question, (y - 1):(77 - y - 1) = 7:8 Or, 8y - 8 = 532 - 7y Or, 15y = 540 So, y = 540 ÷ 15 = 36 So, present age of Ramesh = 77 - 36 = 41 years

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