**1. Hook**

Imagine a mathematical puzzle that’s both intriguing and mind-boggling: one number added to three times another number results in 24. Can you crack the code and uncover the unknown numbers?

**2. Pain Points**

Navigating this puzzle can be a perplexing task, leaving you feeling stumped and yearning for a solution. The elusive nature of the undisclosed numbers adds to the challenge, creating a sense of frustration and a desire to unravel the mystery.

**3. Target**

To solve this mathematical enigma, we need to determine the two numbers that satisfy the equation: one number added to three times another number is equal to 24. By employing logical reasoning and algebraic methods, we can uncover the hidden values that unlock the puzzle.

**4. Summary**

In this post, we explored the intriguing puzzle of one number added to three times another number resulting in 24. We delved into the challenges of finding the unknown numbers, which can evoke a sense of frustration. However, by applying logical reasoning and algebraic techniques, we can illuminate the mystery and unveil the hidden values that lead to a satisfying solution.

**One Number Added to Three Times Another Number Is 24**

**Introduction**

In mathematics, we often encounter problems that require us to solve for unknown quantities. One common type of problem involves solving equations with one or more variables. In this article, we will explore a specific scenario where one number added to three times another number is 24.

**Step 1: Define the Variables**

Let’s define the two unknown numbers as x and y. According to the given information, we can express the equation as:

```
x + 3y = 24
```

**Step 2: Isolate One Variable**

To solve for one of the variables, we need to isolate it on one side of the equation. Let’s isolate x:

```
x = 24 - 3y
```

**Step 3: Assign Values to the Other Variable**

We can now assign different values to y and solve for the corresponding value of x. Let’s explore a few examples:

**Example 1: y = 1**

```
x = 24 - 3(1)
x = 24 - 3
x = 21
```

**Example 2: y = 2**

```
x = 24 - 3(2)
x = 24 - 6
x = 18
```

**Example 3: y = 3**

```
x = 24 - 3(3)
x = 24 - 9
x = 15
```

As we can see, different values of y result in different values of x.

**Step 4: Generalize the Solution**

The equation we derived earlier, `x = 24 - 3y`

, represents a general solution for any value of y. It implies that one number, x, can be found by subtracting three times another number, y, from 24.

**Step 5: Applications of the Equation**

This equation can be applied in various real-world scenarios. For instance, it can be used to:

- Determine the relationship between two quantities, such as distance and time.
- Solve problems involving mixtures and alloys.
- Find the unknown sides of a triangle or other geometric shapes.

**Step 6: Extension to Other Equations**

The concept of solving equations with one or more variables can be extended to more complex equations, such as quadratic equations and polynomial equations.

**Conclusion**

In conclusion, finding one number that, when added to three times another number, equals 24, involves solving a simple linear equation. By isolating one variable and assigning different values to the other, we can determine various solutions to the equation. This concept has practical applications in various fields and forms the foundation for more advanced mathematical operations.

**FAQs**

**What is the general solution to the equation x + 3y = 24?**

- The general solution is x = 24 – 3y.

**How can I find the value of x if y is 5?**

- Substitute y with 5 in the general solution: x = 24 – 3(5) = 24 – 15 = 9.

**Can the equation have multiple solutions?**

- Yes, the equation has multiple solutions because y can be any real number.

**What is the relationship between x and y in the equation?**

- The relationship is linear, meaning that x decreases by 3 units as y increases by 1 unit.

**How can I apply this equation in real-life problems?**

- You can use it to solve problems involving quantities that are related by a factor of 3, such as distance, time, or mixtures.

.

Number,Added,Three,Times,Another,Number