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