The sum of three consecutive odd integers is 231. what is the largest integer

These are really hard to think about, but start exploring.

So three consecutive odd integers, what does that mean?

1, 2, 3? Nope there's an even in there.

1, 5, 7? Nope you skipped 3 so it's not consecutive

1, 3, 5? Yes, you got it

Now what if we don't know the number? Let it be x!

x, x+2, x+4? I want you to see where I got these from:1, 1+2, 1+4.

Ok so the sum of these three odd integers is 231 let's do it

x + x+2 + x+4 = 231

3x+6 = 231

3x = 225

x=75.

If we plug back in into our unkown: x, x+2, x+4 we get:

75, 77, 79

The largest integer of these is 79.

Simple right? Let me know if you have questions.