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29 March, 17:55

Three consecutive odd numbers have a sum of 75.

What is the greatest number?

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Answers (1)
  1. 29 March, 18:17
    0
    Let us assume the first odd number = x

    Then the second consecutive odd number = x + 2

    The third consecutive odd number = x + 4

    The addition of the three consecutive odd numbers = 75

    Then we can write the equation as

    x + x + 2 + x + 4 = 75

    3x + 6 = 75

    3x = 75 - 6

    3x = 69

    x = 69/3

    = 23

    Then

    The greatest odd number in the question = X + 4

    = 23 + 4

    = 27

    So the greatest odd number in the question is 27.
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