Answer:
116 and 118.
Step-by-step explanation:
Let x be our first even number, so our second even number would be [tex]x+2[/tex].
We have been given that sum of two even numbers is 234. This means x and [tex]x+2[/tex] add up-to 234. We can represent this information in an equation as:
[tex]x+x+2=234[/tex]
Let us solve for x.
[tex]2x+2=234[/tex]
[tex]2x+2-2=234-2[/tex]
[tex]2x=232[/tex]
Now, we will divide both sides of our equation by 2.
[tex]\frac{2x}{2}=\frac{232}{2}[/tex]
[tex]x=116[/tex]
Therefore, 1st even number is 116.
To find second even number, we will add 2 to 116.
[tex]x+2\rightarrow 116+2=118[/tex]
Therefore, 2nd even number is 118.
