Question

Write and solve the equation and then check your answer. Select the correct statements for each blank.

A number decreased by twenty-four is thirteen.



(5 points)
Equation:

This is a
problem.

To solve the equation,

to both sides of the equation.

To check the solution,
99 for the variable in the equatio

Answer 1

Let's break down your problem step-by-step.

### Step 1: Write the equation

The phrase "a number decreased by twenty-four is thirteen" can be expressed as:

\[ x - 24 = 13 \]

### Step 2: Identify the type of problem

This is a subtraction problem.

### Step 3: To solve the equation

To isolate the variable \( x \), we will add 24 to both sides of the equation:

\[ x - 24 + 24 = 13 + 24 \]

This simplifies to:

\[ x = 37 \]

### Step 4: Check the solution

To check the solution, substitute \( x = 37 \) back into the original equation:

\[ 37 - 24 = 13 \]

This simplifies to:

\[ 13 = 13 \]

Since both sides of the equation are equal, our solution is verified.

### Summary

- **Equation**: \( x - 24 = 13 \)
- This is a **subtraction problem**.
- To solve the equation, **add 24** to both sides of the equation.
- To check the solution, **substitute 37 for the variable in the equation**.