SOLUTION: Find three consecutive integers such the sum of the first and twice the second is 17 more the twice the third

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Question 161057This question is from textbook
: Find three consecutive integers such the sum of the first and twice the second is 17 more the twice the third This question is from textbook

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Let x, x+1 & x+2 be the 3 integers.
x+2(x+1)-17=2(x+2)
x+2x+2-17=2x+4
3x-2x=15+4
x=19 answer for the smalest integer.
19+1=20 for the middle integer
19+2=21 for the third integer.
Proof:
19+2*20-17=2*21
19+40-17=42
59-17=42
42=42