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      Question

      Present ages of P and Q are in the ratio 3:7

      respectively. If Q’s age, 10 years hence from now will be 5 times of P’s age, 6 years ago from now, then find the present age of Q.
      A 20 years Correct Answer Incorrect Answer
      B 26 years Correct Answer Incorrect Answer
      C 35 years Correct Answer Incorrect Answer
      D 33 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the present ages of P and Q be 3x and 7x years respectively. According to the question, => (7x + 10) = 5 × (3x – 6) => 7x + 10 = 15x – 30 => 8x = 40 => x = 5 Therefore, the present age of Q = 7x = 35 years

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