alexhughes330331 alexhughes330331
  • 02-12-2020
  • Mathematics
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The sum of the first two and the greatest of 4 consecutive odd integers is 29. What are the integers?

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berno berno
  • 07-12-2020

Answer:

The four consecutive odd numbers are [tex]7,9,11,13[/tex]

Step-by-step explanation:

Let the four consecutive odd integers be [tex]x,x+2,x+4,x+6[/tex]

The sum of the first two and the greatest of 4 consecutive odd integers is 29.

[tex]x+x+2+x+6=29\\3x+8=29\\3x=29-8\\3x=21\\x=7[/tex]

Therefore,

[tex]x=7\\x+2=7+2=9\\x+4=7+4=11\\x+6=7+6=13[/tex]

The four consecutive odd numbers are [tex]7,9,11,13[/tex]

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