SOLUTION: Find three consecutive even integers whose sum is zero

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Question 159290: Find three consecutive even integers whose sum is zero
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Let n=first number. So this means that the second number is n+2 and the third is n+4. Since the sum of the three numbers is 0, this means that n%2Bn%2B2%2Bn%2B4=0



n%2Bn%2B2%2Bn%2B4=0 Start with the given equation.


3n%2B6=0 Combine like terms on the left side.


3n=0-6 Subtract 6 from both sides.


3n=-6 Combine like terms on the right side.


n=%28-6%29%2F%283%29 Divide both sides by 3 to isolate n.


n=-2 Reduce.


So the first number is -2, the second is -2%2B2=0 and the third is -2%2B4=2