# How do you write and solve an equation to find the integers if Mrs. Simms told her class to find two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer?

If we name an even number as $2 k$, we can name the next one as:
$2 k + 2$.
$2 \left(2 k\right) = 2 \left(2 k + 2\right) - 4 \Rightarrow 4 k = 4 k + 4 - 4 \Rightarrow 0 = 0$, and so every k satisfys the relation given.