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      Question

      The ratio of the present age of A and B is 3 : 1. Five

      years ago, the ratio of their ages was 5 : 1. The age of A (in years) after eight years will be:Β 
      A 22 Correct Answer Incorrect Answer
      B 38 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 40 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let: A = 3x, B = x (present ages) 5 years ago: (3x βˆ’ 5)/(x βˆ’ 5) = 5/1 β†’ 3x βˆ’ 5 = 5x βˆ’ 25 β†’ 20 = 2x β‡’ x = 10 β†’ A = 3x = 30 β†’ A after 8 years = 30 + 8 = 38

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