Answer :
To solve the problem, let's analyze the situation step by step:
1. Understanding the Problem:
We need to find a number [tex]\( n \)[/tex] that, when added to 15 less than 3 times itself, results in 101.
2. Breaking it Down:
- "3 times itself" refers to [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" means [tex]\( 3n - 15 \)[/tex].
3. Setting Up the Equation:
According to the problem, the number [tex]\( n \)[/tex] is added to this expression, which gives:
[tex]\[
n + (3n - 15) = 101
\][/tex]
4. Simplifying the Equation:
Combine like terms:
[tex]\[
n + 3n - 15 = 101 \][/tex]
[tex]\[
4n - 15 = 101
\][/tex]
5. Choose the Correct Form:
This shows that the original setup [tex]\( 3n - 15 + n = 101 \)[/tex] is correct.
So the equation that represents the situation described in the problem is [tex]\( 3n - 15 + n = 101 \)[/tex].
1. Understanding the Problem:
We need to find a number [tex]\( n \)[/tex] that, when added to 15 less than 3 times itself, results in 101.
2. Breaking it Down:
- "3 times itself" refers to [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" means [tex]\( 3n - 15 \)[/tex].
3. Setting Up the Equation:
According to the problem, the number [tex]\( n \)[/tex] is added to this expression, which gives:
[tex]\[
n + (3n - 15) = 101
\][/tex]
4. Simplifying the Equation:
Combine like terms:
[tex]\[
n + 3n - 15 = 101 \][/tex]
[tex]\[
4n - 15 = 101
\][/tex]
5. Choose the Correct Form:
This shows that the original setup [tex]\( 3n - 15 + n = 101 \)[/tex] is correct.
So the equation that represents the situation described in the problem is [tex]\( 3n - 15 + n = 101 \)[/tex].
