**6, 8, 10, 12, 14**

I'm really sorry I made a mistake but, again how do you solve this question and can you please explain?

Tutors, sign in to answer this question.

Marked as Best Answer

let's say x is the first of the numbers, so, the next ones are (x +2), (x + 4), (x + 6), ( x +8).

here they are again: x, (x +2), (x + 4), (x + 6), ( x +8). We can tell here that (x + 4) is the middle number,

so, here's the equation:

x + (x +2) + (x +4) + (x + 6) + (x + 8) = 10 + 4(x + 4)

5x + 20 = 10 + 4x + 16

5x + 20 = 4x + 26

subtract 20 from both sides:

5x + 20 -20 = 4x + 26 -20 ----> 5x = 4x + 6

now, subtract 4x from both sides:

5x - 4x = 4x - 4x + 6

so x = 6.

so, the consecutive even integers are: **6, 8, 10, 12, 14**

Hi again Salma;

No need to apologize. I enjoy this.

x

x+2

x+4--middle

x+6

x+8

TOTAL...5x+20

5x+20=[4(x+4)]+10

Let's distribute...

5x+20=4x+16+10

Let's combine like terms...

5x+20=4x+26

Let's subtract 4x from both sides...

-4x+5x+20=4x+26-4x

x+20=26

Let's subtract 20 from both sides...

-20+x+20=26-20

x=6

x=6

x+2=8

x+4=10---middle

x+6=12

x+8=14

TOTAL...50

50=[4(10)]+10

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.