the two consecutive even integers can be written as:

2x and 2x + 2, where x is integer

their sum is 30:

2x + 2x + 2 = 30

by solving we find

x = 7

click here to see the step by step solution of the equation

Click to see all the steps

2*7 = 14

2*7 + 2 = 16

the two consecutive even integers are 14 and 16.