Question 105704
OK, you start with an even integer - we'll call it x.
To get to the next consecutive even integer, you are told that you have to add 2.  So the next consecutive even integer after x would be x+2.
Finally, we're told that we need to find two consecutive even integers that add up to 50.  
So, x + (x + 2) = 50.

To solve, gather like terms on the left side of the equation:
2x + 2 = 50

Divide both sides of the equation by the greatest common factor (2):
x + 1 = 25

And finally, subtract 1 from both sides:
x = 24

Remember, x was our original even integer, so to find the "next consecutive integer" add x + 2 (24 + 2 = 26).  

The two consecutive integers that, when added together sum to 50, are 24 and 26.