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      Question

      The current age ratio of 'A' to 'B' is 5:7, and their

      combined age is 48 years. The age of 'A', after 'n' years, will equal the age of 'B' from 'n' years ago. Additionally, the present age of 'C' is (3n−4)(3n - 4) years less than 'A's current age. Determine the present age of 'C'.
      A 8 yrs Correct Answer Incorrect Answer
      B 16 yrs Correct Answer Incorrect Answer
      C 15 yrs Correct Answer Incorrect Answer
      D 10 yrs Correct Answer Incorrect Answer
      E 12 yrs Correct Answer Incorrect Answer

      Solution

      Let the present age of 'A' and 'B' be '5m' and '7m' years respectively. So, 5m + 7m = 48 Or, 12m = 48 Or, 'm' = 4 Present age of 'A' = '5m' = 5 X 4 = 20 years Present age of 'B' = '7m' = 7 X 4 = 28 years ATQ, 20 + n = 28 - n Or, 2n = 8 So, 'n' = 4 Therefore, present age of 'C' = 20 - (3 X 4 - 4) = 20 - 8 = 12 years

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