Answer :
[tex]x-\ Elaine's\ age\\\\
x+8-\ Tyler's\ age\\\\
x+x+8=34\\\\
2x+8=34\ \ \ |Subtract\ \ 8\\\\
2x=34-8\\\\
2x=26\ \ \ Divided\ by\ 2\\\\
x=13\\\\
\textbf{Tyler's\ age\ is\ 21\ years\ and\ Elaine's\ is\ 13\ years}[/tex]