Answer :
We start by translating the words into an algebraic equation. The phrase "15 less than 3 times itself" means that we subtract 15 from [tex]$3n$[/tex], giving [tex]$3n - 15$[/tex]. The phrase "a number, [tex]$n$[/tex], is added to" this expression means we add [tex]$n$[/tex], resulting in:
[tex]$$
n + (3n - 15)
$$[/tex]
We are told that the result of this addition is 101. Therefore, we write the equation:
[tex]$$
n + (3n - 15) = 101
$$[/tex]
This equation can be rearranged as:
[tex]$$
3n - 15 + n = 101.
$$[/tex]
This corresponds to the equation in the first option:
[tex]$$
3n - 15 + n = 101.
$$[/tex]
Thus, the equation to find the value of [tex]$n$[/tex] is:
[tex]$$
3n - 15 + n = 101.
$$[/tex]
[tex]$$
n + (3n - 15)
$$[/tex]
We are told that the result of this addition is 101. Therefore, we write the equation:
[tex]$$
n + (3n - 15) = 101
$$[/tex]
This equation can be rearranged as:
[tex]$$
3n - 15 + n = 101.
$$[/tex]
This corresponds to the equation in the first option:
[tex]$$
3n - 15 + n = 101.
$$[/tex]
Thus, the equation to find the value of [tex]$n$[/tex] is:
[tex]$$
3n - 15 + n = 101.
$$[/tex]
