Find four consecutive even integers with a sum of - 52

Step-by-step explanation: In this problem we have four consecutive even integers that have a sum of - 52. Consecutive even integers can be represented as followed.

X

X + 2

X + 4

X + 6

Since the sum of these is - 52, we can set up an equation to represent this.

X + X + 2 + X + 4 + X + 6 = - 52

4x + 12 = - 52

4x = - 64

X = - 16

X + 2 = - 14

X + 4 = - 12

X + 6 = - 10

-16,-14,-12,-10

Step-by-step explanation:

Let the integers be x, x+2, x+4, x+6

ATQ,

x+x+2+x+4+x+6=-52

4x+12=-52

4x=-52-12

x=-64/4

x=-16