The sum of three consecutive even numbers is 108. Write and evaluate an expression in terms of x to determine the smallest of the three numbers. Include parentheses in your expression.

Answer :

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Answer:

[tex]34[/tex]

Step-by-step explanation:

Let the first number be [tex]x[/tex]

The next number be [tex]2[/tex] more than the previous as it is an even number

The second number is [tex]x+2[/tex]

and the last number is [tex]x+4[/tex]

The sum of the numbers is [tex]108[/tex], so the expression will be

[tex]x+(x+2)+(x+4)=108[/tex]

[tex]\Rightarrow 3x+6=108[/tex]

[tex]\Rightarrow x=\dfrac{108-6}{3}[/tex]

[tex]\Rightarrow x=34[/tex]

The smallest of the three numbers is [tex]34[/tex].

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