Name the first even integer you are looking for [tex]x[/tex]. The next even number is [tex]x+2[/tex].
Their sum is [tex]264[/tex], so [tex]x+x+2=264[/tex]. That means [tex]2x=262[/tex], hence [tex]x=131[/tex].
So, the desired numbers are [tex]131[/tex] and [tex]133[/tex].
