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  • 13-05-2018
  • Mathematics
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Three consecutive odd integers add to −9. What are these integers?

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  • 13-05-2018
Three consecutive odd integers:
[tex]n;\ n+2;\ n+4[/tex]
The equation:
[tex]n+(n+2)+(n+4)=-9\\\\n+n+2+n+4=-9\\\\3n+6=-9\ \ \ \ |-6\\\\3n=-15\ \ \ |:3\\\\n=-5\\\\n+2=-5+2=-3\\\\n+4=-5+4=-1[/tex]
Check:[tex]-5+(-3)+(-1)=-9[/tex]
Answer: -5; -3; -1.
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