SOLUTION: Could you please help me solve this problem? Find three consecutive integers whose sum is -114.

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Question 186255This question is from textbook Beginning Algebra
: Could you please help me solve this problem?

Find three consecutive integers whose sum is -114. This question is from textbook Beginning Algebra

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the smallest integer
Then n+%2B+1 is the next larger
And n+%2B+2 is the next larger
given:
n+%2B+n+%2B+1+%2B+n+%2B+2+=+-114
3n+=+-117
n+=+-39
n+%2B+1+=+-38
n+%2B+2+=+-37
The consecutive integers are -37, -38, and -39
check:
n+%2B+n+%2B+1+%2B+n+%2B+2+=+-114
-39+-+39+%2B+1+-+39+%2B+2+=+-114
-117+%2B+3+=+-114
-117+=+-117
OK