Question

In the following exercises, solve each number word

The sum of three times a number and eight is $23$. Find the number.

Short answer

The number is $5$.

Step-by-step solution

Step 1. Given Information  

We are given that the sum of three times a number and eight is $23$.

We have to find the number.

Step 2. Forming the equation  

Let the number bex,

So, the equation will be,

$3x+8=23$

Step 3. Solving the equation  

Subtracting $8$from both sides, we get

$$\begin{gathered} 3x+8=23 \\ 3x=23-8 \\ 3x=15 \end{gathered}$$

Dividing by $3$,

$$\begin{gathered} x=\frac{15}{3} \\ x=5 \end{gathered}$$

Hence, the number is $5$.

Step 4. Checking the solution 

Putting the value of xin the equation, we get

$$\begin{gathered} 3x+8=23 \\ 3\left(5\right)+8=23 \\ 15+8=23 \\ 23=23 \\ LHS=RHS \end{gathered}$$

Hence the solution is correct.