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

Answer 1

To solve the problem, we need to create an equation based on the given statement: "A number, n, is added to 15 less than 3 times itself. The result is 101."

1. **3 times itself**: This means \(3n\).
2. **15 less than 3 times itself**: This translates to \(3n - 15\).
3. **A number, n, is added to this**: This means we add \(n\) to the expression \(3n - 15\).
4. **The result is 101**: This indicates that the expression equals 101.

Putting it all together, we have:

\[
n + (3n - 15) = 101
\]

This simplifies to:

\[
3n - 15 + n = 101
\]

Thus, the equation that can be used to find the value of \(n\) is:

\[
3n - 15 + n = 101
\]

So, the correct answer is:

**3n – 15 + n = 101**.