#### Answer

TV: 9 years
Sleeping: 28 years.

#### Work Step by Step

1.
Let x represent the years spent wathching TV.
2.
Let y represent the years spent sleeping.
Then, y=x+19
3.
The sum of x and y is 37:
$x+(x+19)=37$
4.
Solve, answer.
$ x+(x+19)=37\quad$... simplify LHS
$2x+19=37\qquad/-19$
$2x=18\qquad/\div 2$
$x=9$
9 years of watching TV,
9+19=28 years of sleeping
5.
Check:
28 exceeds 9 by 19.
Watching TV or sleeping (9+28)
equals 37 years (OK).
The graph also confirms these results.