Bailey L. answered 06/25/20
Johns Hopkins student for STEM subjects tutoring and test preparation
Let the largest integer be x. SInce the integers are consecutive, then we have the other two integers as x -1 and x -2. From the problem, we get
x + (x-1) + (x-2) = - 204.
Then:
3x - 3 = -204
3x = -201
x = -67
The largest number is -67.