Respuesta :

Krystox
1002
The equation ( x + 1 ) +  ( x + 2 ) + ( x + 3) = 3009
We do 1 + 2 + 3 = 6
Subtract 3009 with 6 = 3003
We have 3x = 3003
Divide 3003 / 3 = 1001
x = 1001
Let's use our equation!
1002 + 1003 + 1004 = 3009
MrRoyal

Consecutive integers are integers that have a difference of 1

The smallest of the integers is 1002

Let the smallest integer be x. So, the other integers are:

  • x + 1
  • x + 2

The sum is 3009. So, we have:

[tex]x + x + 1 + x + 2 = 3009[/tex]

Collect like terms

[tex]x + x + x = 3009-1-2[/tex]

Evaluate the like terms

[tex]3x = 3006[/tex]

Divide both sides by 3

[tex]x = 1002[/tex]

Hence, the smallest of the integers is 1002

Read more about consecutive numbers at:

https://brainly.com/question/10853762

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