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      Question

      The age of 'P' five years from

      now will be equal to the age of 'Q' four years before now. Additionally, twice the current age of 'P' is three years more than the current age of 'Q'. If 'R' is four years younger than 'P', determine the present age of 'R' (in years).
      A 6 yrs Correct Answer Incorrect Answer
      B 4 yrs Correct Answer Incorrect Answer
      C 8 yrs Correct Answer Incorrect Answer
      D 12 yrs Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the present age of 'P' and 'Q' be 'x' and 'y' years respectively. ATQ: x + 5 = y - 4 Or, y - x = 9 ---------- (I) And, 2x = y + 3 Or, 'y' = 2x - 3 On putting value of 'y' in equation (I) , We get, 2x - 3 - x = 9 Or, 'x' = 12 Therefore, required age = 12 - 4 = 8 years

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