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  • 31-10-2019
  • Mathematics
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The sum of two consecutive integers is − 15. Find the numbers.

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Ben
Ben Ben
  • 31-10-2019

[tex]\huge\boxed{x=-8}[/tex]

Since the integers are consecutive, we know that one of them is [tex]x[/tex] and the other is [tex]x+1[/tex]. Start by writing an equation.

[tex]x+x+1=-15[/tex]

Combine the variables.

[tex]2x+1=-15[/tex]

Subtract [tex]1[/tex] on both sides of the equation.

[tex]2x=-16[/tex]

Divide both sides of the equation by [tex]2[/tex].

[tex]x=\boxed{-8}[/tex]

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