SOLUTION: how do you find the consecutive even integers if the sum of the smaller 3 integers is 4 more than 4 times the largest integer?

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Question 1066524: how do you find the consecutive even integers if the sum of the smaller 3 integers is 4 more than 4 times the largest integer?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
HOW MANY integers? Four?

n, any integer

n%2Bn%2B2%2Bn%2B4=4%2B4%28n%2B6%29

3n%2B6=4%2B4n%2B24

6=n%2B28

n=6-28

n=-22, an even integer

The consecutive even integers are -22, -20, -18, -16.

CHECK:
-22-20-18=4%2B4%28-16%29?
-60=4%2B%28-64%29
-60=-60, yes.