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Answer:
100, 102, 104
Step-by-step explanation:
Hi there!
Let x be equal to the first number in the set of the three consecutive even numbers.
We're given that the sum of three consecutive even numbers is 306.
Because x is the first number, the next would be x+2, and then x+4. These are our even numbers.
We can now set up an equation:
[tex](x)+(x+2)+(x+4)=306[/tex]
Combine like terms:
[tex]x+x+x+2+4=306\\3x+6=306\\3x=300\\x=100[/tex]
Therefore, the first number in the set of 3 numbers is 100.
The next two even numbers after 100 is 102 and 104.
Therefore, the three numbers are 100, 102 and 104.
I hope this helps!