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      Question

      The average age of A, B and C is 30 years, while the

      average age of B, A and D is 20 years. If the ratio of the age of C and D is 5:3, respectively, then find the age of D.
      A 40 years. Correct Answer Incorrect Answer
      B 42 years. Correct Answer Incorrect Answer
      C 45 years. Correct Answer Incorrect Answer
      D 47 years. Correct Answer Incorrect Answer

      Solution

      Sum of ages of A, B and C = 30 ร— 3 = 90 years Sum of ages of B, A and D = 20 ร— 3 = 60 years So, C โ€“ D = 90 โ€“ 60 = 30 years Let the age of C and D be 5x and 3x years, respectively. 5x โ€“ 3x = 30 2x = 30 x = 15 So, age of D = 3x = 45 years.

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