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find the we consecutive integers such that the sum of the largest and 5 times the smallest is -244

I need help for hw

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I believe you have a typo in the second/third word.  The question should probably specify how many consecutive integers.  Otherwise, there would be an infinite number of solutions.  Please double-check the question in order to get an answer.
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1 Answer

Assuming you need three consecutive integers:
 
x=the smallest integer
x+2=the largest integer
5x+x+2=-244
6x+2=-244
6x=-246
x=-41
check:
5(-41)+(-41+2)=-205-39=-244