Ogvfbk Ogvfbk
  • 15-01-2021
  • Mathematics
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The sum of three consecutive integers is 12 less than 4 times the middle integer

Respuesta :

SkiffMackinaw SkiffMackinaw
  • 15-01-2021

Answer:

[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]

Step-by-step explanation:

We can set up the following equation with the information given:

[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.

Solving, we get:

[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].

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