Question

The sum of three consecutive integers is 267. What is the largest integer?

Answer 1

$n;\ n+1;\ n+2-the\ consecutive\ integers\\\\n+(n+1)+(n+2)=267\\\\n+n+1+n+2=267\\\\3n+3=267\ \ \ \ |subtract\ 3\ from\ both\ sides\\\\3n=264\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{n=88}\\\\last\ integer:n+2=88+2=90\\\\Answer:\fbox{90}$