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      Question

      Present ages of Ram and Raj are in the ratio 6:7,

      respectively. The ratio of their ages after 12 years will be 9:10. The difference between the ages of Raj and Rakesh is two years. Find the present age of Rakesh.
      A 25 yrs Correct Answer Incorrect Answer
      B 26 yrs Correct Answer Incorrect Answer
      C 30 yrs Correct Answer Incorrect Answer
      D Either a or b Correct Answer Incorrect Answer
      E Either b or c Correct Answer Incorrect Answer

      Solution

      We can say that, Let the present ages of Ram and Raj are 6a years and 7a years, respectively. According to question: (6a + 12)/(7a + 12) = 9/10 60a + 120 = 63a + 108 3a = 12 a = 4 So, the present ages of Ram and Raj are 24 years and 28 years, respectively. Present age of Rakesh = either 28 + 2 = 30 years or 28 – 2 = 26 years. So the present age of Rakesh is either 26 years or 30 years.

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