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      Question

      Present ages of β€˜A’, β€˜B’ and β€˜C’ are in the

      ratio 5:11:13, respectively. If present average age of β€˜A’ and β€˜C’ is 36 years, then find the age of β€˜B’ when β€˜C’ was 27 years old?
      A 10 years Correct Answer Incorrect Answer
      B 18 years Correct Answer Incorrect Answer
      C 19 years Correct Answer Incorrect Answer
      D 15 years Correct Answer Incorrect Answer

      Solution

      Let the present ages of β€˜A’, β€˜B’ and β€˜C’ be β€˜5x’ years, β€˜11x’ years and β€˜13x’ years, respectively. ATQ; (13x + 5x) Γ· 2 = 36 Or, 18x = 72 So, x = 4 So, present age of β€˜C’ = 13 Γ— 4 = 52 years Present age of β€˜B’ = 11 Γ— 4 = 44 years Difference between the ages of β€˜B’ and β€˜C’ = 52 – 44 = 8 years So, age of β€˜B’ when β€˜C’ was 27 years old = 27 – 8 = 19 years

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