SOLUTION: one sixth of the smallest of three consecutive even integers is three less than than one tenth the sum of the other two even integers. Find the integers

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Question 845609: one sixth of the smallest of three consecutive even integers is three less than than one tenth the sum of the other two even integers. Find the integers
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
n/6=((n+2) + (n+4))/10 - 3
n/6=(2n+6)/10-3
n/6=n/5+3/5-3
3-3/5=n/5-n/6
12/5=n/30
n=6*12=72
They are
{72, 74, 76}