The sum of two consecutive even integers divided by four is 189.5

Two consecutive even integers means that the numbers are two apart. Let's call the first even integer "n." The consecutive even integer would then be "n+2." Using these two expressions, create an equation that you can solve for the value of the integers:
(n + n + 2)/4 (sum of the integers divided by four) = 189.5 

Now you can solve for the value of n:


Since n = your first even integer, that means your first even integer is 378 and your consecutive even integer is 380.

378 and 380