Answer:
The age of Tim is;
[tex]22\text{ years}[/tex]Explanation:
Let x represent Mark's age and y represent Tim's age.
Given that;
Mark is 7 less than 2 times as old as Tim;
[tex]x=2y-7\text{ -----1}[/tex]Together there age is 59;
[tex]x+y=59\text{ ------2}[/tex]Substituting equation 1 to equation 2;
[tex]\begin{gathered} x+y=59 \\ (2y-7)+y=59 \\ 2y+y-7=59 \\ 3y-7=59 \\ 3y=59+7 \\ 3y=66 \\ \text{divide both sides by 3;} \\ \frac{3y}{3}=\frac{66}{3} \\ y=22 \end{gathered}[/tex]Therefore, the age of Tim is;
[tex]22\text{ years}[/tex]