Which equation could be used to solve this problem?
The sum of two consecutive odd integers is 100. Find the integers.
A.2n + 3 = 100
B.2n + 1 = 100
C.n + 4 = 100
D.2n + 2 = 100

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- anonymous

- jamiebookeater

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- anonymous

@Michele_Laino i'm thinking A

- terenzreignz

How do you convey "two consecutive odd integers"?
I mean, if say, n is an odd integer, what's the next one?

- Michele_Laino

given a natural number n, then the number 2n is even number and its consecutive odd numbers are:
2n-1 and 2n+1

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- anonymous

ok so then wouldn't it be B.

- terenzreignz

Process of elimination? lol

- terenzreignz

Let's be systematic here :D
3,5
9,11
21,23
all pairs of consecutive odd numbers.
In all cases, you did *something* to the smaller odd number to get the bigger.
Now, if n was the smaller odd integer, what is the next odd integer?

- anonymous

hmmmm i'm confused??

- terenzreignz

To get 5, you add 2 to 3
To get 11, you add 2 to 9
To get 23, you add 2 to 21
In all cases, you always did the same thing to the odd number to get the next consecutive odd number.
So, if n was an odd number, what do you do to it to get the next odd number?
Come on... you can do this :D

- anonymous

ohhh ok hld on then.

- anonymous

7,13,25

- anonymous

9,15,27

- anonymous

guys??

- terenzreignz

Oh, you.
What I meant was
if you have a smaller odd integer
to get the next odd integer, you simply ADD 2 to it.
Given that,
if n is the smaller odd integer, what's the next odd integer?

- anonymous

yea i did do that

- terenzreignz

I didn't mean "add 2" to those example numbers I gave you.
I meant add 2... to n.
Come one... this is basically spoonfeeding now lol
^^
Peace

- terenzreignz

Come on*

- anonymous

ohh

- anonymous

well ive been thinking D the who'll time

- anonymous

x + (x+2) = 100

- terenzreignz

*shrug*
you were thinking A and B just earlier.
hardly "the whole time" haha

- welshfella

lets look at 2n + 2
n could be an odd number and 100-2 = 98
so ?

- terenzreignz

n
but close enough.
n + (n+2) = 100
just simplify

- anonymous

then it has to be B then right

- welshfella

no not B

- anonymous

ohh no sorry A

- welshfella

no i think you are guessing

- terenzreignz

*twitches*

- welshfella

- look at my last post - we were looking at 2n + 2 = 100

- terenzreignz

choice C is offended about not being considered XD
but yeah, it does seem like you're guessing.
tsk... unhealthy habit, that, and you were so close to getting the answer too :|

- anonymous

no i think you suck @welshfella and thank you very much @terenzreignz

- terenzreignz

Thank me later when you get the answer!
D:
let's start with
n + (n+2) = 100
Just simplify it!

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