Answer :
We start by letting [tex]$n$[/tex] be the number. The phrase "15 less than 3 times itself" means we take three times the number, [tex]$3n$[/tex], and subtract 15:
[tex]$$3n - 15.$$[/tex]
Next, the problem states that this expression is added to the number [tex]$n$[/tex]:
[tex]$$n + (3n - 15).$$[/tex]
This sum simplifies to:
[tex]$$4n - 15.$$[/tex]
Since the result is given as 101, we set up the equation:
[tex]$$4n - 15 = 101.$$[/tex]
This equation is equivalent to writing:
[tex]$$3n - 15 + n = 101.$$[/tex]
Thus, among the provided options, the correct equation is:
[tex]$$3n - 15 + n = 101.$$[/tex]
[tex]$$3n - 15.$$[/tex]
Next, the problem states that this expression is added to the number [tex]$n$[/tex]:
[tex]$$n + (3n - 15).$$[/tex]
This sum simplifies to:
[tex]$$4n - 15.$$[/tex]
Since the result is given as 101, we set up the equation:
[tex]$$4n - 15 = 101.$$[/tex]
This equation is equivalent to writing:
[tex]$$3n - 15 + n = 101.$$[/tex]
Thus, among the provided options, the correct equation is:
[tex]$$3n - 15 + n = 101.$$[/tex]
