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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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