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  • 22-03-2020
  • Mathematics
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What is the sum of three even consecutive integers is -72

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calculista
calculista calculista
  • 31-03-2020

Answer:

[tex]-26,-24,-22[/tex]

Step-by-step explanation:

The correct question is

The sum of three consecutive even integers is -72. what are the three numbers

Let

x ----> the first consecutive even integer

x+2 ----> the second consecutive even integer

x+4 ----> the third consecutive even integer

we know that

[tex]x+(x+2)+(x+4)=-72[/tex]

solve for x

[tex]3x+6=-72\\3x=-78\\x=-26[/tex]

so

[tex]x+2=-26+2=-24[/tex]

[tex]x+4=-26+4=-22[/tex]

therefore

the numbers are

[tex]-26,-24,-22[/tex]

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