A set of 4 consecutive integers adds up to 314. What is the least of the 4 integers?

Discussion in 'Calculator Requests' started by math_celebrity, Oct 19, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A set of 4 consecutive integers adds up to 314. What is the least of the 4 integers?

    First integer is x. The next 3 are x + 1, x + 2, and x + 3. Set up our equation:
    x + (x + 1) + (x + 2) + (x + 3) = 314

    Group x terms and group constnats
    (x + x + x + x) + (1 + 2 + 3) = 314

    Simplify and combine
    4x + 6 = 314

    Enter this in the equation solver
    x = 77
     

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