Question 653256
To generalize three consecutive even numbers, we can write:
first number: x
second number number: x + 2
third number: x + 4

So, the largest is x + 4.  The smallest is x.  "the sum of the largest and smallest is 68":

x + (x + 4) = 68
2x + 4 = 68 (combined like terms on the left side of the equation)
2x = 64  (subtracted 4 from both sides)
x = 32 (divided bith sides by 2)

If the smallest number (x) is 32, then the next even number (x + 2) is 34, and the next one after that (x + 4) is 36.

check: 32 + 36 = 68
answer: 32, 34, 36