The sum of three consecutive integers is -204. what is the largest integer?

You have a number -204
you need three numbers that come each after another
so (X-1)+X+(X+1)=-204
3X=-204
X=-68 (middle number)
so X-1=-69 (lower number)
X+1=-67 (higher number)

Well first of all we have to agree that consecutive means the come after each other exactly
if one of them is 6 then 7 and 8 are the rest
in the same way
if X is one of them the other 2 will be X+1 and X+2
So as you know that the sum of the three numbers e1uals to -204
X + X+1 + X+2 = -204
3X + 3 = -204
3X = -204 - 3
3X = -207
X = -207 / 3
X = -69
Therefore,
The first number i.e, X = -69
The second number i.e, X + 1 = -69 +1 = -68
The third number i.e, X + 2 = -69 + 2 = -67

The largest number between them is -67