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Answered

The sum of three consecutive even numbers is 12. What are the
numbers?​

Sagot :

AGBOIIIN

SOLUTION

First integer

  • x

Second integer

  • x+2

Third integer

  • x+4

Now, the sum of the 3 consecutive number are 12. Hence , we will arrive to the equation

  • x + x+2 + x+4 = 12

Solving for the variable x

[tex]x + x + 2 + x + 4 = 12 \\ x + x + x + 2 + 4 = 12 \\ 3x + 6 = 12 \\ 3x = 12 - 6 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2[/tex]

Substituting the value of x to get the numbers

First number

  • x = 2

Second number

  • x+2 = 2+2 = 4

Third number

  • x+4 = 2+4 = 6

ANSWER

  • The numbers are 2 , 4 , and 6

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