alyssagriffin21
alyssagriffin21 alyssagriffin21
  • 28-05-2019
  • Mathematics
contestada

Write and solve of the following linear equation. Show or explain your work.

Three consecutive integers have a sum of 246. What are the three integers

Respuesta :

calculista
calculista calculista
  • 08-06-2019

Answer:

The three integers are 81,82 and 83

Step-by-step explanation:

Let

x,x+1 and x+2 ----> the three consecutive integers

we know that

[tex]x+(x+1)+(x+2)=246[/tex]

Solve for x

[tex]3x+3=246[/tex]

[tex]3x=246-3[/tex]

[tex]x=243/3[/tex]

[tex]x=81[/tex]

therefore

[tex]x=81[/tex]

[tex]x+1=81+1=82[/tex]

[tex]x+2=81+2=83[/tex]

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