Question 399115
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Hi
Find three consecutive integers 
Let x, (x+1), (x+2) represent the three consecutive integers respectively
Question states***
  2(x+1) + 3(x+2) = 6x - 5
  Solving for x
     5x + 8 = 6x - 5           
         13 = x  The three consecutive integers are 13,14,15          
CHECKING our Answer***
    2*14 + 3*15 = 73 = 78 - 5