Solution:
Let, the smaller even number be x. Then the consecutive greater even number will be x + 2.
Now, according to the question,
x + (x + 2) = 34
Or, 2x + 2 = 34
Or, 2x = 34 -2
Or, 2x = 32
Or, x = 32/2
Or, x = 16,
Then, x + 2 = 16 + 2 = 18
∴ The two required consecutive even numbers whose sum is 34 are 16 and 18.