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

Question

agent0smith · Answer

Call the largest integer x. You can write three consecutive integers as (from biggest to smallest): x, x-1, x-2.

They add up to 267, so$$ \Large x + x-1 + x-2 = 267$$

Solve for x.

wolf1728 · Answer

x + (x+1) + (x+2) = 267
3x + 3 = 267
3 x = 264
x = 88
So the highest integer = 90

agent0smith · Answer

The reason you make them x, x-1, x-2, is because if, for example, the largest integer is 100, the next is 99 (which is 100 - 1), then 98 (which is 100 -2).

agent0smith · Answer

@wolf1728 give him a chance to at least attempt it before posting the answer...

wolf1728 · Answer

agent0smith Sorry for posting too quickly (I've been doing that a lot too) I'll try to calm it down just a bit.