Two consecutive even integers have a sum of 38

"two consecutive even integers"
we can make those two numbers x and y
with y being two more than x ... (y = 2 + x)

so we have that
x + y = 38
which becomes
x + 2 + x = 38

we add like terms
2x + 2 = 38

subtract 2 from both sides
2x = 36

divide both sides by 2
x = 36 / 2 = 18

therefore our first number is 18
and our second number is two more than that, which is 20