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      Question

      Currently, the ages of Vikesh and Vishal are in a ratio

      of 7:5. Vijay's age is 20% lower than Vishal's. If the average age of Vikesh, Vishal, and Vijay is 32 years, determine how old Vijay is now.
      A 20 years Correct Answer Incorrect Answer
      B 24 years Correct Answer Incorrect Answer
      C 28 years Correct Answer Incorrect Answer
      D 32 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the present ages of Vikesh and Vishal are 7x years and 5x years respectively. So the present age of Vijay = 0.80 × 5x = 4x years According to question: 7x + 5x + 4x = 3 × 32 16x = 96, x = 6 So the present age of Vijay = 6 × 4 = 24 years Hence, option b.

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