The sum of two consecutive even integers is 8282. Find the two integers.

Step 1: Let's denote the first even integer as "x".

Step 2: Because we're dealing with consecutive even integers, the next integer would be "x + 2".

Step 3: According to the problem, the sum of these two integers is 8282. So, we can set up the following equation: x + (x + 2) = 8282.

Step 4: Simplify the equation by combining like terms: 2x + 2 = 8282.

Step 5: Subtract 2 from both sides of the equation to isolate the term with x: 2x = 8280.

Step 6: Divide both sides of the equation by 2 to solve for x: x = 4140.

So, the two consecutive even integers are 4140 and 4142.