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      Question

      Average of 8 numbers is 70. If average of first four and

      last two numbers is 90 and 50, respectively then find the fifth number given that ratio of fifth and sixth number is 3:2, respectively.
      A 50 Correct Answer Incorrect Answer
      B 40 Correct Answer Incorrect Answer
      C 60 Correct Answer Incorrect Answer
      D 66 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let fifth and sixth numbers be тАШ3xтАЩ and тАШ2xтАЩ, respectively. So, 3x + 2x = 70 ├Ч 8 тАУ 90 ├Ч 3 тАУ 50 ├Ч 2 = 100 Or, 5x = 100 Or, x = 20 So, fifth number = 20 ├Ч 3 = 60

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