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