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 $N$ ?

Answer 1

Step 1: Write the linear equation:

$N$ be any number. As given in the question, $15$ less than $3$ times itself. So:

$\left(3N-15\right)+N$

It's equal to $101$. Then,

$\left(3N-15\right)+N=101$

Step 2: Solve the obtained equation:

Since the obtained equation is a linear equation. Then,

$\begin{array}{rcl}3N-15+N& =& 101\\ \Rightarrow 4N& =& 101+15\\ \Rightarrow 4N& =& 116\\ \Rightarrow N& =& \frac{116}{4}\\ \Rightarrow N& =& 29\end{array}$

Therefore, the value of $N$ is $29$.