Question

The sum of three consecutive integers is negative 114 find the integers

Answer 1

`x,\ x+1,\ x+2-\text{three consecutive integers}\\\\\text{The equation}\\\\x+(x+1)+(x+2)=-114\\\\3x+3=-114\ \ \ \ |-3\\\\3x=-117\ \ \ \ |:3\\\\x=-39\\x+1=-38\\x+2=-37\\\\Answer:\ \{-39,\ -38,\ -37\}`