SOLUTION: Find the largest three consecutive even numbers that sum to less than 1000

Question 1062335: Find the largest three consecutive even numbers that sum to less than 1000
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The average would be 333.3
332 would be the even number below that.
330, 332, 334 are the numbers.
OR
x, x+2, x+4
Add them (3x+6<1000)
3x<994
x<331 2/3, so use 330 as the first number and get the same results above.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the largest three consecutive even numbers that sum to less than 1000
--------
1000/3 =~ 333
-----
--> 330 + 332 + 334 = 996
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The hard way:
n-2 + n + n+2 < 1000
3n < 1000
n < 333.333...
--> same answer
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