Question

a number, n, is added to 15 less than 3 times itself. the result is 101. which equation can be used to find the value of n?
○ $3n - 15 + n = 101$
○ $3n + 15 + n = 101$
○ $3n - 15 - n = 101$
○ $3n + 15 - n = 101$

Explanation:

Step1: Analyze "3 times itself"

The number is \( n \), so 3 times itself is \( 3n \).

Step2: Analyze "15 less than 3 times itself"

"15 less than \( 3n \)" means \( 3n - 15 \).

Step3: Analyze "a number, \( n \), is added to..."

Adding \( n \) to \( 3n - 15 \) gives \( 3n - 15 + n \).

Step4: Analyze "The result is 101"

So the equation is \( 3n - 15 + n = 101 \).

Answer:

A. \( 3n - 15 + n = 101 \)