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    Question

    The combined age of A and B is 70 years. The current age

    ratio of A to C is 9:10. Additionally, the average age of A, B, and C is given as 30 years. What is the age difference between A and B?
    A 25 years Correct Answer Incorrect Answer
    B 40 years Correct Answer Incorrect Answer
    C 34 years Correct Answer Incorrect Answer
    D 26 years Correct Answer Incorrect Answer
    E 44 years Correct Answer Incorrect Answer

    Solution

    Let the present ages of A, B and C be ‘a’, ‘b’ and ‘c’ years respectively.
    According to the question,
    a + b = 70 --- (1)
    a: c = 9: 10 --- (2)
    a + b + c = 90
    c = 90 – 70 = 20 years
    So, a = (9/10) × 20 = 18 years
    So, b = 70 – 18 = 52 years
    Required difference = 52 – 18 = 34 years

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