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