1. ## Consecutive Integers

Hey, there's a problem I stuck on.

Please explain how to actually do this, without making it a big deal like some teachers do.

Problem:

The 6 consecutive integers below add up to 447.

x - 2
x - 1
x
x + 1
x + 2
x + 3

What is the value of x?

F. 72
G. 73
H. 74
J. 75
K. 76

2. ## Re: Consecutive Integers

Originally Posted by Cyloc
Hey, there's a problem I stuck on.

Please explain how to actually do this, without making it a big deal like some teachers do.

Problem:

The 6 consecutive integers below add up to 447.

x - 2
x - 1
x
x + 1
x + 2
x + 3
-----
6x+3 = 447 , solve for x

What is the value of x?

F. 72
G. 73
H. 74
J. 75
K. 76
...

3. ## Re: Consecutive Integers

Ok, thanks. If you may confirm, 6x because there are 6 consecutive integers, which add up, (or as I'd like to say, equal) to 447, and the 3 stands for what exactly?

4. ## Re: Consecutive Integers

Originally Posted by Cyloc
Ok, thanks. If you may confirm, 6x because there are 6 consecutive integers, which add up, (or as I'd like to say, equal) to 447, and the 3 stands for what exactly?
If you add all six terms in that column, what term do you get.

-2 + -1 = -3

-3 + 1 = -2

-2 + 2 = 0
0 + 3 = 3

6. ## Re: Consecutive Integers

Originally Posted by Cyloc
-2 + -1 = -3

-3 + 1 = -2

-2 + 2 = 0
0 + 3 = 3
I have no idea what that is all about.
You need direct tutorial help.

7. ## Re: Consecutive Integers

Originally Posted by Cyloc
-2 + -1 = -3

-3 + 1 = -2

-2 + 2 = 0
0 + 3 = 3
Okay, you are adding -2+ (-1)+ 0+ 1+ 2+ 3, pairwise. Now, do you see where that "3" came from?

x - 2
x - 1
x
x + 1
x + 2
x + 3
_____
6x+ 3

8. ## Re: Consecutive Integers

Originally Posted by Plato
I have no idea what that is all about.
You need direct tutorial help.
You asked him to add the numbers on the right and he did- getting the correct sum, 3.

9. ## Re: Consecutive Integers

Originally Posted by HallsofIvy
You asked him to add the numbers on the right and he did- getting the correct sum, 3.
Originally Posted by Plato
If you add all six terms in that column, what term do you get.
I used the word terms not numbers.

Ahh!