Find three consecutive integers such that the sum of the second and the third is 17. which equation would be used to solve this word problem?

7, 8, 9

You would set the first number equal to x as a basis. Followed by x + 1 and x + 2 since we know they must be consecutive. Then by adding the second two together and setting equal to 17, you can find x and thus all three numbers. 

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