Question 39806
Let the first number be x and the next even one would be x+2.
Then by adding we get
x + (x+2) = 340
2x + 2 = 340
2x = 338
x = 169
and x+ 2 = 171
but notice these are ODD.
Since the question called for even, there is NO SOLUTION.  
Tis kind of a trick question...