The smaller of two consecutive even integers is two more than half of the greater. find the two integers.

Greetings and Happy Holidays! 

Let x represent the smaller, even integer.
Let (x+2) represent the larger, even integer.

We can create an algebraic equation to solve for the numbers:


Simplify:




Add to both sides:




Divide both sides by






The Answer Is:

and



The two consecutive even integers are 6 and 8.

I hope this helped!
-Benjamin