Question

In the following exercises, solve each number word problem.

The sum of a number and nine is $17$. Find the number.

Short answer

The number is $8$.

Step-by-step solution

Step 1. Given Information  

We are given that the sum of a number and nine is $17$.

We have to find the number.

Step 2. Forming the equation  

Let the number bex,

So, the equation will be,

$x+9=17$

Step 3. Solving the equation  

Subtracting $9$from both sides, we get

$$\begin{gathered} x+9=17 \\ x=17-9 \\ x=8 \end{gathered}$$

Hence, the number is $8$.

Step 4. Checking the solution  

Putting the value of xin the equation, we get

$$\begin{gathered} x+9=17 \\ 8+9=17 \\ 17=17 \\ LHS=RHS \end{gathered}$$

Hence the solution is correct.