Answer:56, 57, 58
Explanation:
X to the first integer they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 171
(X) + (X + 1) + (X + 2) = 171
you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side.
X + X + 1 + X + 2 = 171
3X + 3 = 171
3X + 3 - 3 = 171 - 3
3X = 168
3X/3 = 168/3
X = 56
the second number is 56 + 1 and the third number is 56 + 2. Therefore, three consecutive integers that add up to 171 are 56, 57, and 58