Question

(02.02 LC)
Choose the equation that could be used to find two consecutive integers whose sum is 69.

a. n + (n + 1) = 69
b. n + (n + 2) = 69
c. n + 2n = 69
d. n - (n + 1) = 69

I think the answer is a, but I don't know how to get the answer/solve this.

Answer 1

@Suenahelpz

Answer 2

So, what do you know about consecutive integers? :3

Answer 3

Not really, no. It's pretty new to me, honestly, and I take this algebra course online so it's not like I can ask about it either, which sucks.

Answer 4

Alright c:. Well, consecutive integers are integers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive integers, the mean and the median are equal. If n is an integer, then n, n+1, and n+2 would be consecutive integers as our good ol' friend Google says since I suck at describing, haha! Any other questions about consecutive integers themselves before we begin solving?

Answer 5

So, basically it's kind of like sets of numbers that go together to equal another number?

Answer 6

Yeah, you have the right idea of them. c:

Answer 7

Okay. :)

Answer 8

So, when we are finding the sum of (insert a random number here) we have to divide that number by 2 to see what the center of that number is so it is easier on us when finding two numbers that add up together to equal that number. So, when we divide 69 by 2 what do we get?

Answer 9

34.5?

Answer 10

Correct! So, the center of 69 is 34.5. We usually now are supposed to guess and estimate so I'm gonna say 34 and 35 will add up together to equal 69. So, when I do that....it is 69! (You can check on your calculator too just cause I'm a klutz sometimes). Now, when we use consecutive integers to find the sum of a number, the problem looks sort of like this one right here:
x+(x+1)+(x+2)+(x+3)=326
^ That problem is with 4 consecutive integers whose sum is 326. Now, what would you say the choice that best fits this pattern?

Answer 11

a. n + (n + 1) = 69?

Answer 12

Correct! That shows two consecutive integers with n being the first and (n + 1) being the second whose sum is 69. :)

Answer 13

Thank you. :)

Answer 14

Your very welcome.

Answer 15

Would you be able to help me with one or a couple more or are you going to be busy, it's fine either way, I just need help understanding this stuff because a quarterly check is coming up and I'll need to be able to do this by myself.

Answer 16

Especially due to the length of the problem you've just tackled, please post any new questions separately. Thank you.

Answer 17

@TortillaBlueChip I'll be able to help, of course! c:

Answer 18

@mathmale She has been posting separate questions?