Question

according to statistics, a person will devote 36 years to sleeping and watching tv. the number of years sleeping will exceed the number of years watching tv by 20. over the lifetime, how many years will the person spend on each of these activities? the person will spend \\(\square\\) years watching tv and \\(\square\\) years sleeping. (type whole numbers.)

Explanation:

Step1: Define variables

Let $x$ = years watching TV, $y$ = years sleeping.

Step2: Set up equations

Total time: $x + y = 36$
Sleep - TV difference: $y = x + 20$

Step3: Substitute $y$ into total equation

$x + (x + 20) = 36$

Step4: Simplify and solve for $x$

$2x + 20 = 36$
$2x = 36 - 20 = 16$
$x = \frac{16}{2} = 8$

Step5: Solve for $y$

$y = 8 + 20 = 28$

Answer:

The person will spend 8 years watching TV and 28 years sleeping