demetriusbrowne1 demetriusbrowne1
  • 11-06-2021
  • Mathematics
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If the sum of three consecutive integers is 36 what is the smallest integer?

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xKelvin
xKelvin xKelvin
  • 11-06-2021

Answer:

The smallest integer is 11.

Step-by-step explanation:

Let the first integer be x.

Then the second will be (x + 1) and the third will be (x + 2).

The sum is 36. Hence:

[tex]x+(x+1)+(x+2)=36[/tex]

Solve for x:

[tex]3x+3=36[/tex]

So:

[tex]3x=33[/tex]

Hence:

[tex]x=11[/tex]

Our sequence is 11, 12, 13.

So, the smallest integer is 11.

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