Hi,

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

Write as we Read***

x + (x+1) = (x+2) + 7

solving for x

2x + 1 = x + 9

x = 8, first of the three consecutive integers

8 , 9  and 10 are the integers

CHECKING our Anwer

8 + 9 = 10 + 7 = 17 

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