3 consecutive odd integers such that thrice the middle is 15 more than the sum of the other 2

Discussion in 'Calculator Requests' started by math_celebrity, Feb 1, 2018.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    3 consecutive odd integers such that thrice the middle is 15 more than the sum of the other 2.

    • Let the first integer be n
    • The next odd one (middle) is n + 2.
    • The next odd one is n + 4
    We are given 3(n + 2) = n + n + 4 + 15.

    Simplifying, we get:
    3n + 6 = 2n + 19

    Plugging that problem into our search engine, we get n = 13.
    So the next odd integer is 13 + 2 = 15
    The next odd integer is 15 + 2 = 17
     

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