SOLUTION: the sum of 4 consecutive integers is -82. what are the integers? equations___________ ________ integers___________ ________

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Question 190134: the sum of 4 consecutive integers is -82. what are the integers?

equations____________________
integers____________________

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the integers n,n%2B1,
n%2B2,and n%2B3
given:
n+%2B+n+%2B+1+%2B+n+%2B+2+%2B+n+%2B+3+=+-82
-------------------------------------
4n+%2B+6+=+-82
4n+=+-88
n+=+-22
n+%2B+1+=+-21
n+%2B+2+=+-20
n+%2B+3+=+-19
The integers are -19, -20, -21, and -22
check:
n+%2B+n+%2B+1+%2B+n+%2B+2+%2B+n+%2B+3+=+-82
-22+%2B+%28-21%29+%2B+%28-20%29+%2B+%28-19%29+=+-82
-43+-+39+=+-82
-82+=+-82
OK