Question

Find the two consecutive even numbers whose sum is 30

Answer 1

We can translate this sentence into an equation.

Let's call the first number (the lower one) by x.

Since we one two consecutive even numbers, the next even number will be x plus 2, because even numbers appear for each 2 consecutive numbers.

Thus, the first number is x and the second is x + 2.

We want x such that the sum of thoes numbers is equal to 30, that is:

$x+x+2=30$

Now, we can solve the equation to find x:

$\begin{gathered} x+x+2=30 \\ 2x+2=30 \\ 2x=30-2 \\ 2x=28 \\ x=\frac{28}{2} \\ x=14 \end{gathered}$

So, if x is 14, this means that the fisrt number is 14 and the next even number is 16.

Thus, the two consecutive even numbers are 14 and 16.