Answer :
To solve the problem, we need to translate the description into an equation. Let's break it down step by step:
1. Identify the components of the problem:
- We have a number, [tex]\( n \)[/tex].
- "3 times itself" means [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" means [tex]\( 3n - 15 \)[/tex].
2. Setup the equation:
- We are told this expression (15 less than 3 times the number) is added to the number itself, and the result is 101. Therefore, we can write this as an equation:
[tex]\[
n + (3n - 15) = 101
\][/tex]
3. Simplify the equation:
- Combine like terms:
[tex]\[
n + 3n - 15 = 101
\][/tex]
4. Final equation:
- Combine [tex]\( n + 3n \)[/tex] to get [tex]\( 4n \)[/tex]:
[tex]\[
4n - 15 = 101
\][/tex]
Thus, the correct equation to find the value of [tex]\( n \)[/tex] is:
[tex]\[
3n - 15 + n = 101
\][/tex]
This equation matches the option: [tex]\( 3n - 15 + n = 101 \)[/tex].
1. Identify the components of the problem:
- We have a number, [tex]\( n \)[/tex].
- "3 times itself" means [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" means [tex]\( 3n - 15 \)[/tex].
2. Setup the equation:
- We are told this expression (15 less than 3 times the number) is added to the number itself, and the result is 101. Therefore, we can write this as an equation:
[tex]\[
n + (3n - 15) = 101
\][/tex]
3. Simplify the equation:
- Combine like terms:
[tex]\[
n + 3n - 15 = 101
\][/tex]
4. Final equation:
- Combine [tex]\( n + 3n \)[/tex] to get [tex]\( 4n \)[/tex]:
[tex]\[
4n - 15 = 101
\][/tex]
Thus, the correct equation to find the value of [tex]\( n \)[/tex] is:
[tex]\[
3n - 15 + n = 101
\][/tex]
This equation matches the option: [tex]\( 3n - 15 + n = 101 \)[/tex].
