Question

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

Answer 1

@Michele_Laino i'm thinking A

Answer 2

How do you convey "two consecutive odd integers"?

I mean, if say, n is an odd integer, what's the next one?

Answer 3

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

Answer 4

ok so then wouldn't it be B.

Answer 5

Process of elimination? lol

Answer 6

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?

Answer 7

hmmmm i'm confused??

Answer 8

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

Answer 9

ohhh ok hld on then.

Answer 10

7,13,25

Answer 11

9,15,27

Answer 12

guys??

Answer 13

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?

Answer 14

yea i did do that

Answer 15

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

Answer 16

Come on*

Answer 17

ohh

Answer 18

well ive been thinking D the who'll time

Answer 19

x + (x+2) = 100

Answer 20

*shrug*
you were thinking A and B just earlier.

hardly "the whole time" haha

Answer 21

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

Answer 22

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

Answer 23

then it has to be B then right

Answer 24

no not B

Answer 25

ohh no sorry A

Answer 26

no i think you are guessing

Answer 27

*twitches*

Answer 28

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

Answer 29

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 :|

Answer 30

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

Answer 31

Thank me later when you get the answer!
D:

let's start with
n + (n+2) = 100

Just simplify it!