Question

According to​ statistics, a person will devote 32 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 22. Over the​ lifetime, how many years will the person spend on each of these​ activities?
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Part 1
The person will spend
  
enter your response here years watching TV and
  
enter your response here years sleeping.

Answer 1

Let's denote the number of years watching TV as \( x \) and the number of years sleeping as \( y \).

According to the information given:

1. The total number of years spent on these two activities is 32:
\[
x + y = 32
\]

2. The number of years sleeping exceeds the number of years watching TV by 22:
\[
y = x + 22
\]

Now, we can substitute the expression for \( y \) from the second equation into the first equation.

Substituting \( y \) in the first equation:
\[
x + (x + 22) = 32
\]

This simplifies to:
\[
2x + 22 = 32
\]

Now, we can solve for \( x \):
\[
2x = 32 - 22
\]
\[
2x = 10
\]
\[
x = 5
\]

Now that we have \( x \) (the years watching TV), we can find \( y \) using the second equation:
\[
y = x + 22 = 5 + 22 = 27
\]

So, the person will spend:
- \( 5 \) years watching TV
- \( 27 \) years sleeping

Final answers:
- The person will spend **5 years watching TV** and **27 years sleeping.**