Answer :
To solve this problem, let's denote the number of years spent watching TV as [tex]\( x \)[/tex]. According to the information given, the number of years spent sleeping will exceed the number of years spent watching TV by 19 years. Therefore, the number of years spent sleeping can be expressed as [tex]\( x + 19 \)[/tex].
The problem states that the total number of years spent on both activities is 33 years. This gives us the equation:
[tex]\[ x + (x + 19) = 33 \][/tex]
Let's solve this equation step-by-step:
1. Combine the terms on the left side:
[tex]\[ 2x + 19 = 33 \][/tex]
2. Subtract 19 from both sides:
[tex]\[ 2x = 33 - 19 \][/tex]
[tex]\[ 2x = 14 \][/tex]
3. Divide both sides by 2 to find [tex]\( x \)[/tex]:
[tex]\[ x = \frac{14}{2} \][/tex]
[tex]\[ x = 7 \][/tex]
Thus, the number of years spent watching TV is 7 years.
To find the number of years spent sleeping, we use the expression [tex]\( x + 19 \)[/tex]:
[tex]\[ x + 19 = 7 + 19 = 26 \][/tex]
Therefore, the person will spend:
- 7 years watching TV
- 26 years sleeping
The problem states that the total number of years spent on both activities is 33 years. This gives us the equation:
[tex]\[ x + (x + 19) = 33 \][/tex]
Let's solve this equation step-by-step:
1. Combine the terms on the left side:
[tex]\[ 2x + 19 = 33 \][/tex]
2. Subtract 19 from both sides:
[tex]\[ 2x = 33 - 19 \][/tex]
[tex]\[ 2x = 14 \][/tex]
3. Divide both sides by 2 to find [tex]\( x \)[/tex]:
[tex]\[ x = \frac{14}{2} \][/tex]
[tex]\[ x = 7 \][/tex]
Thus, the number of years spent watching TV is 7 years.
To find the number of years spent sleeping, we use the expression [tex]\( x + 19 \)[/tex]:
[tex]\[ x + 19 = 7 + 19 = 26 \][/tex]
Therefore, the person will spend:
- 7 years watching TV
- 26 years sleeping
Answer:
The person will spend 26 years sleeping and 7 years watching TV.
Step-by-step explanation:
To find out how many years a person will spend sleeping and watching TV, we need to set up and solve a system of equations based on the information given:
1. The total number of years spent sleeping and watching TV is 33.
2. The number of years spent sleeping exceeds the number of years spent watching TV by 19.
Let the number of years spent sleeping be S and the number of years spent watching TV be T .
From the given information, we can set up the following equations:
1. S + T = 33
2. S = T + 19
Let us solve these equations step by step:
First, substitute the second equation into the first equation:
(T + 19) + T = 33
Simplify and combine like terms:
2T + 19 = 33
Subtract 19 from both sides:
2T = 14
Divide both sides by 2:
T = 7
Now, substitute T = 7 into second equation to find S :
S = T + 19
S = 7 + 19
S = 26
