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22 May, 17:20

The sum of three consecutive odd numbers is 51

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Answers (2)
  1. 22 May, 20:12
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    Tried a whole bunch of odd sequences:

    11 + 13 + 15 = 39

    Nope too small.

    21 + 23 + 25 = 69

    Woah too big!

    And after a few more trials found that:

    17 + 19 + 21 = 51

    Woohoo!
  2. 22 May, 20:12
    0
    An odd number is ussualy written as "2k+1" and an even number is written as "2k".

    Now, as there are 3 consecutive odd numbers that sum to 51, it can be written this way:

    (2k+1) + (2k+3) + (2k+5) = 51

    6k+9=51

    6k=42

    k=7 = > The numbers are: 2*7+1=15

    2*7+3=17

    2*7+5=19

    15+17+19=51
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