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    Question

    The present ages of Priya and Tina are in the ratio 2:5,

    respectively. Eight years hence, the ratio of their ages will become 5:11. Find the present age of Priya.
    A 25 yrs Correct Answer Incorrect Answer
    B 10 yrs Correct Answer Incorrect Answer
    C 32 yrs Correct Answer Incorrect Answer
    D 20 yrs Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present ages of Priya and Tina be 2a and 5a years respectively.

    ATQ:

    (2a+8):(5a+8)=5:11

    Or, 11×(2a+8)=5×(5a+8)

    Or, 22a+88=25a+40

    Or, 3a=48

    Or, a=16

    Therefore, present age of Priya = 2×16=32 years

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