Question

    The present age ratio between 'A' and 'B' is 6:4

    respectively. If the sum of 'A's age 3 years ago and 'B's age 8 years from now is 50 years, what is the present age of 'A'?
    A 35 yrs Correct Answer Incorrect Answer
    B 45 yrs Correct Answer Incorrect Answer
    C 10 yrs Correct Answer Incorrect Answer
    D 27 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present age of 'A' and 'B' be 6a years and 4a years respectively.

    So, age of 'A' 3 years ago = 6a - 3 years

    And, age of 'B' 8 years later = 4a + 8 years

    ATQ,

    6a - 3 + 4a + 8 = 50

    ⇒ 10a + 5 = 50

    ⇒ 10a = 45

    ⇒ a = 4.5

    Therefore, present age of 'A' = 6 × 4.5 = 27 years

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