Answer :
To solve the problem, let's break it down step by step.
1. Understanding the Problem:
- We need to find the number [tex]\( n \)[/tex].
- The problem states that a number [tex]\( n \)[/tex] is added to "15 less than 3 times itself."
2. Translating into an Equation:
- "3 times itself" means [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" translates to [tex]\( 3n - 15 \)[/tex].
- The number [tex]\( n \)[/tex] is added to this, giving us the expression [tex]\( n + (3n - 15) \)[/tex].
3. Setting up the Equation:
- We are told this sum equals 101, so we write:
[tex]\[
n + (3n - 15) = 101
\][/tex]
4. Simplifying the Equation:
- Combine like terms: [tex]\( n + 3n \)[/tex] becomes [tex]\( 4n \)[/tex].
- The equation now is:
[tex]\[
4n - 15 = 101
\][/tex]
5. Result:
- The equation that represents the situation correctly is:
[tex]\[
3n - 15 + n = 101
\][/tex]
So, the correct equation from the given options is [tex]\( 3n - 15 + n = 101 \)[/tex]. This equation can be used to find the value of [tex]\( n \)[/tex].
1. Understanding the Problem:
- We need to find the number [tex]\( n \)[/tex].
- The problem states that a number [tex]\( n \)[/tex] is added to "15 less than 3 times itself."
2. Translating into an Equation:
- "3 times itself" means [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" translates to [tex]\( 3n - 15 \)[/tex].
- The number [tex]\( n \)[/tex] is added to this, giving us the expression [tex]\( n + (3n - 15) \)[/tex].
3. Setting up the Equation:
- We are told this sum equals 101, so we write:
[tex]\[
n + (3n - 15) = 101
\][/tex]
4. Simplifying the Equation:
- Combine like terms: [tex]\( n + 3n \)[/tex] becomes [tex]\( 4n \)[/tex].
- The equation now is:
[tex]\[
4n - 15 = 101
\][/tex]
5. Result:
- The equation that represents the situation correctly is:
[tex]\[
3n - 15 + n = 101
\][/tex]
So, the correct equation from the given options is [tex]\( 3n - 15 + n = 101 \)[/tex]. This equation can be used to find the value of [tex]\( n \)[/tex].
