SOLUTION: Find all sets of four consecutive even whole integers whose sum is less than 35

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Question 163613: Find all sets of four consecutive even whole integers whose sum is less than 35
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call our first integer, N.
Then the next three consecutive even integers would be N+2, N+4, and N+6.
Their sum is
N%2B%28N%2B2%29%2B%28N%2B4%29%2B%28N%2B6%29%3C35
4N%2B12%3C35}
4N%3C23
N%3C5
.
.
.
(4,6,8,10)
(2,4,6,8)
(0,2,4,6)
(-2,0,2,4)
.
.
.
The set of four consecutive even integers that sum to less than 35 is(N,N%2B2,N%2B4,N%2B6) where N%3C=4