The sun of three conservative integers is - 204. what is the largest integer?

let us take the smallest integer as x

the second smallest as x+1

and the largest as x+2

since the sum is - 204 we should add all of it to get the answer

therefore x+x+1+x+2=-204

3x+3=-204

3x=-204-3

3x=-207

x=-207/3

x=-69

the largest number is x+2

therefore the largest number is - 67

to check whether it is right just add them and check whether we get - 204

therefore - 69+-68+-67=

-204

therefore the answer is - 67