Hi,         

Let x , (x+1) and (x+2) represent the 3 consecutive integers 

 Question States***

  x + (x+1) + (x+2)= 114

Solving for x

 3x + 3 = 114

   3x = 111

    x = 37  Integers are 37, 38, 39

CHECKING our Answer

  37 + 38 + 39 = 114 

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