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The sum of three consecutive even numbers is 306. Find the three numbers.​

Sagot :

theleangreenbean

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!

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