Question

Find three consecutive even integers that sum up to -72.

Answer 1

-26, -24 and -22

Explanation:

`n,\ n+2,\ n+4-\text{three consecutive even integers}\\\\\text{The equation:}\\\\n+(n+2)+(n+4)=-72\\\\n+n+2+n+4=-72\qquad\text{combine like terms}\\\\3n+6=-72\qquad\text{subtract 6 from both sides}\\\\3n+6-6=-72-6\\\\3n=-78\qquad\text{divide both sides by 3}\\\\(3n)/(3)=-(78)/(3)\\\\n=-26\\\\n+2=-26+2=-24\\\\n+4=-26+4=-22`