Question

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

Answer 1

Let the integers be x + (x+1) + (x + 2) 

x + (x+1) + (x + 2) = 267 

3x + 3 = 267 
3x = 264 
x = 88 

88+89+90=267 

Largest integer=90 

Another method 

267/3 = 89 

It's the average,so it has to be the middle one. 

Thus 89, then I took 89 - 1 = 88 and 89 + 1 = 90 and just put them in order. 

88+89+90=267 

Largest integer=90