Given two consecutive even integer numbers x and x + 2, we know that twice the smaller number diminished by twenty is equal to the larger:
[tex]2x-20=x+2[/tex]Solving for x:
[tex]\begin{gathered} 2x-x=20+2 \\ \\ \Rightarrow x=22 \end{gathered}[/tex]And the numbers are:
[tex]22\text{ and }24[/tex]