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      Question

      Average of 20 numbers is 90. Average of first 8 numbers

      is 125 while average of last nine numbers is 40. If ninth number is 25% less than the tenth number which is equal to the eleventh numbers then find the tenth number.
      A 120 Correct Answer Incorrect Answer
      B 140 Correct Answer Incorrect Answer
      C 160 Correct Answer Incorrect Answer
      D 170 Correct Answer Incorrect Answer

      Solution

      Sum of ninth, tenth and eleventh number = 20 × 90 – 8 × 125 – 9 × 40 = 440 Let tenth number = x = eleventh number So, ninth number = 0.75 × x = 0.75x So, x + 0.75x + x = 440 Or, 2.75x = 440 Or, x = 160

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