Answer
86, 88, and 90
Work Step by Step
An even integer has a value of exactly 2 less than its next consecutive even integer. And each following consecutive even integer will be exactly 2 more in value than the previous even integer.
The sum of 3 consecutive even integers:
$x+(x+2)+(x+2+2)=(x+x+x)+(2+2+2)=3x+6$
We can set this sum equal to 264.
$3x+6=264$
Subtract 6 from both sides.
$3x=258$
Divide both sides by 3.
$x=86$
Number 1: 86
Number 2: 86+2=88
Number 3: 86+2+2=90