The sum of four consecutive even integers is - 84. find the four integers. what integer is the largest?

Even integers are 2n where n is a intiger

so consecutive even integers are 2 away from each other

so first number=2n

2nd=2n+2

3rd=2n+4

4th=2n+6

so

2n+2n+2+2n+4+2n+6=8n+12=-84

solve

8n+12=-84

subtrafct 12 from both sides

8n=-96

divide both sides by 8

n=-12

n=-12

1st number=2n

1st number=-24

2nd number=2n+2

2nd number=-24+2=-22

3rd number=2n+4

3rd numbber=-24+4=-20

4th number=2n+6

4th number=-24+6=-18

the numbers are - 18,-20,-22,-24

on a number line where negative numbers are the the left and positive to the right

the farther to the right a number is, the bigger it is so

-18 is the largest