Question

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 1

Answer:

$34$

Step-by-step explanation:

Let the first number be $x$

The next number be $2$ more than the previous as it is an even number

The second number is $x+2$

and the last number is $x+4$

The sum of the numbers is $108$, so the expression will be

$x+(x+2)+(x+4)=108$

$\Rightarrow 3x+6=108$

$\Rightarrow x=\dfrac{108-6}{3}$

$\Rightarrow x=34$

The smallest of the three numbers is $34$.