SOLUTION: This question seems too hard to set up. Could someone help me out? -Find all sets of three consecutive positive even integers whose sum is less than 40.

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Question 25666: This question seems too hard to set up. Could someone help me out?
-Find all sets of three consecutive positive even integers whose sum is less than 40.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can start with x as the first positive even integer, the next positive even integer would be x+2 and the next one would be x+4. Now you could set up the inequality:
x+%2B+%28x%2B2%29+%2B+%28x%2B4%29+%3C+40 Solve for x.
3x+%2B+6+%3C+40 Subtract 6 from both sides.
3x+%3C+34 Divide both sides by 3.
x+%3C+11.33 But you want even integers, so use x = 10
10+12+14 = 36 < 40
8+10+12 = 30 < 40
6+8+10 =24 < 40
4+6+8 = 18 < 40
2+4+6 = 12 < 40
0+2+4 = 6 < 40