SOLUTION: Find three consecutive integers such that the sum of the first and second is 9 more than half of the third.

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Question 408369: Find three consecutive integers such that the sum of the first and second is 9 more than half of the third.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

Find three consecutive integers 

Let x, (x+1), (x+2) represent the three consecutive integers respectively

Question states***

  x + (x+1) = (x+2)/2 + 9

Solving for x

     2x + 1 - x/2 = 1 + 9

        (3/2)x = 9

             x = 6  The three consecutive integers are 6,7,8

          

CHECKING our Answer***

 6+7 = 4 + 9