h0tp0ck3ts
h0tp0ck3ts h0tp0ck3ts
  • 15-11-2019
  • Mathematics
contestada

Find three consecutive even integers such that the sum of the first and third equals the sum of the second and −14.

Respuesta :

absor201
absor201 absor201
  • 19-11-2019

The three consecutive integers are -16, -14, -12.

Step-by-step explanation:

Let the three consecutive even integers be;

x, x+2, x+4

According to given statement;

[tex]x+(x+4)=x+2+(-14)\\x+x+4=x+2-14\\2x+4=x-12\\\\2x-x=-12-4\\x=-16[/tex]

The values are as follow;

[tex]-16,\ -16+2,\ -16+4\\-16, -14, -12[/tex]

The three consecutive integers are -16, -14, -12.

Keywords: Consecutive, integers, linear equation.

Learn more about linear equations at:

  • brainly.com/question/6564657
  • brainly.com/question/6565665

#LearnwithBrainly

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