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      Question

      There are 5 consecutive odd and 3 consecutive even

      numbers. The sum of five consecutive odd numbers is 140 and the lowest even number is 4 more than the twice of average of 5 consecutive odd number. Find the ratio between the lowest odd number and the highest even number?
      A 21:29 Correct Answer Incorrect Answer
      B 11:27 Correct Answer Incorrect Answer
      C 14:23 Correct Answer Incorrect Answer
      D 7:20 Correct Answer Incorrect Answer
      E None of the these Correct Answer Incorrect Answer

      Solution

      Let the consecutive odd number be x, x+2, x+4, x+6, x+8 x + x+2 + x+4 + x+6 + x+8 = 140 5x = 140 - 20 5x = 120 x = 24 Average of 5 consecutive odd number = 140/5 = 28 The lowest even number = (2 × 28) + 4 = 60 The even numbers are 60, 62 and 64. The ratio between the lowest odd number and the highest even number = 24 : 64 = 3:8

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