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    Question

    Six years from now, the sum of the ages of A and C will

    be 84 years. If the ratio of their present ages is 5:3, find the difference between their present ages.
    A 23 yrs Correct Answer Incorrect Answer
    B 12 yrs Correct Answer Incorrect Answer
    C 16 yrs Correct Answer Incorrect Answer
    D 18 yrs Correct Answer Incorrect Answer

    Solution

    Let the present ages of A and C be 5x and 3x years.
    Sum of the present ages = 84 − 12 = 72 years
    ATQ,
    (5x + 3x) = 72
    8x = 72
    So, x = 9
    So, difference between their present ages = (5x − 3x) = 2x = 18 years

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