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      Question

      Present age of β€˜A’ is 50% more than that of β€˜B’.

      If 12 years hence from now, β€˜B’ will be 7 years younger than β€˜A’, then find the sum of present ages of β€˜A’ and β€˜B’.
      A 32 years Correct Answer Incorrect Answer
      B 33 years Correct Answer Incorrect Answer
      C 35 years Correct Answer Incorrect Answer
      D 34 years Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let present age of β€˜B’ be β€˜x’ years Present age of β€˜A’ = x Γ— 1.50 = β€˜1.50x’ years ATQ; (x + 12) + 7 = (1.50x + 12) Or, x + 19 = 1.50x + 12 Or, 7 = 0.50x Or, x = 14 So, present age of β€˜B’ = 14 years And, present age of β€˜A’ = 14 + 7 = 21 years Required sum = 14 + 21 = 35 years

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