Question

Three times the sum of a number and $4$ is the same as $18$ more than the number. What is the number?

Answer 1

Step-1: Find three times the sum of the number $\mathit{x}$ and $\mathbf{4}$:

Given that, three times the sum of a number and $4$ is the same as$18$ more than the number.

Let the number be $x$

Sum indicates $+$between $x$ and $4$

$\Rightarrow 3x+4...\left(1\right)$

Step-2: Find the number which is the same as $\mathbf{18}$ more than the number:

Here, $18$ more than the number means, the integer $18$ is to be added with number $x$

$\Rightarrow 18+x...\left(2\right)$

Step-3: Find the number:

Equate equations $\left(1\right)$ and $\left(2\right)$:

$\begin{array}{rcl}& \Rightarrow & 3x+4=18+x\\ 3x-x& =& 18-4\\ 2x& =& 14\\ x& =& \frac{14}{2}\\ x& =& 7\end{array}$

Hence, the number is $\mathbf{7}$.