HW Score: $$ 0 \%, 0 $$ of 17 points Polinta: 0 of 1 According to statistics, a person will devote 31 years to sleeping and watching TV. The number of years sleeping will exceed the number of yoars wathing TV by 27 ow 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.)

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UpStudy AI · Accepted Answer

Let's define the variables for the problem:

- Let $$ s $$ be the number of years spent sleeping.
- Let $$ t $$ be the number of years spent watching TV.

According to the problem, we have the following conditions:

1. The total time spent on sleeping and watching TV is 31 years:
   $$
   s + t = 31
   $$

2. The number of years spent sleeping exceeds the number of years spent watching TV by 27 years:
   $$
   s = t + 27
   $$

Now we can solve this system of equations step by step.

### Step 1: Substitute the second equation into the first equation

We can substitute $$ s $$ from the second equation into the first equation:
$$
(t + 27) + t = 31
$$

### Step 2: Simplify the equation

Combine like terms:
$$
2t + 27 = 31
$$

### Step 3: Solve for $$ t $$

Subtract 27 from both sides:
$$
2t = 31 - 27
$$
$$
2t = 4
$$

Now divide by 2:
$$
t = 2
$$

### Step 4: Find $$ s $$

Now that we have $$ t $$, we can find $$ s $$ using the second equation:
$$
s = t + 27 = 2 + 27 = 29
$$

### Conclusion

The person will spend:
- $$ \boxed{2} $$ years watching TV
- $$ \boxed{29} $$ years sleeping
The person will spend 2 years watching TV and 29 years sleeping.

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