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      Question

      Present age of β€˜A’ is 40% more than that of β€˜B’.

      If 10 years hence from now, β€˜B’ will be 4 years younger than β€˜A’, then find the sum of present ages of β€˜A’ and β€˜B’.
      A 20 years Correct Answer Incorrect Answer
      B 25 years Correct Answer Incorrect Answer
      C 28 years Correct Answer Incorrect Answer
      D 24 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— 1.40 = β€˜1.40x’ years ATQ; (x + 10) + 4 = (1.40x + 10) Or, x + 14 = 1.40x + 10 Or, 4 = 0.40x Or, x = 10 So, present age of β€˜B’ = 10 years And, present age of β€˜A’ = 10 + 4 = 14 years Required sum = 10 + 14 = 24 years

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