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 6 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) + 6 = 62 The even numbers are 62, 64 and 66. The ratio between the lowest odd number and the highest even number = 24 : 66 = 4:11

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