Question

The sum of two consecutive even integers is 154. Find the integers.

Answer 1

You can use the equation: (x) + (x+2) = 154.
Now solve for x.
Do you know how to solve this equation?

Answer 2

Yes, no, or are you still solving it?

Answer 3

well i dont really know how to solve it

Answer 4

what does consecutive mean?

Answer 5

numbers lik 2,4,6,8

Answer 6

Well, that is even consecutive. Though you get what consecutive mean.

Answer 7

yea...so how do you solve the equation?

Answer 8

I'm not the best at explaining on how I obtain that equation, but I'm sure Loser66 can.

Answer 9

@Jewell64 what if they are not even, how can I know whether they are consecutive or not,? like 1, 2, 3.....

Answer 10

No, no, @GoldPhenoix I am asking her the things I don't know

Answer 11

To solve the equation, pretend the parenthesis isn't there. The reason why I put parenthesis is to split them up into integer.
(x) = Smallest integer
(x+2) = Largest integer
Add 2 because it says even. ^_^

So your equation would look like: x + x + 2 = 154.

Answer 12

well. consecutive even are all the even numbers lik 2,4,6,8,10 etc. Consecutive odd are all the odd numbers @Loser66

Answer 13

Yep. Now back to the equation:
x + x + 2 = 154

The first step is to combine like term.
So x + x = ?

Answer 14

thank you

Answer 15

Also, if you don't understand how to do it, then just say so. :)

Answer 16

isnt x the same as 1?

Answer 17

Not necessarily.
x by itself is 1x.
x is a variable. It can be any number.
Hmm...
You can say x is 1... for now.
1 + 1 =?

Answer 18

2 @GoldPhenoix

Answer 19

so would it be 2x+2=154? @GoldPhenoix

Answer 20

Yes! Perfect.
You want x by itself in one side of the equation.
So you want to get rid of 2.
To get rid of 2, you want to do inverse operation.
So 154 - 2 =?

Answer 21

so subtract 2 from both sides and u end up with 2x=152. then divide by 2 right?

Answer 22

@GoldPhenoix

Answer 23

Yep. What do you get?

Answer 24

x=76

Answer 25

@GoldPhenoix

Answer 26

Perfect. Now like I said before:
x = Smallest number
x + 2 = Largest number.
Since 76 is the smallest number, what's the largest number?

Answer 27

78? @GoldPhenoix

Answer 28

Good job!
76, and 78 are your numbers!
To check your work just see:
Are those consecutive numbers?
Do these two add up to 154?

You don't have to reply, just check to see if it's right. ^_^

Answer 29

they do!! thank you so much! @GoldPhenoix

Answer 30

No problem!~