Question

1. # One Number Is Eight More Than Twice Another. If Their Difference Is 25, What Is The Larger Number?

Math problems can be daunting and puzzling, but with a little patience and some practice, you can solve them! In this blog post, we’ll explore one particular math problem involving two numbers. The problem is: “One number is eight more than twice another. If their difference is 25, what is the larger number?” To solve this problem, we must first understand what it is asking us. We know that one number is eight more than twice the other, so their difference must be 25. From there, we can use simple algebra to figure out what the larger number must be. Read on to see how to work through this problem and find the answer!

## Algebraic equation to solve for the larger number

To solve for the larger number in this equation, we need to use algebra. We know that one number is eight more than twice another, and we are looking for their difference. We can set up an equation using these facts and solving for the unknown, which in this case is the larger number.

Our equation will look like this:

x + 8 = 2(x – d)

We can solve this equation for x by adding d to both sides and then dividing both sides by 3. This gives us:

x = d + 8/3

Now that we have solved for x, we can plug in our known values to find d. We know that x = 12 and that 8/3 = 2 2/3. Plugging these values into our equation, we get:

12 + 8/3 = 2(12 – d)
2 2/3 = 24 – 2d
2 2/3 – 24 = -2d
-21 1/3 = -2d
d = 10 2/3

If you’re given two numbers and told that one is eight more than twice the other, you can set up an equation to solve for the larger number. In this case, you would start by writing out what you know:

let x be the smaller number
2x + 8 = the larger number

Now you can solve for x:
2x + 8 = the larger number
2x = the larger number – 8
2x = 44 – 8
2x = 36
x = 18

Therefore, the larger number is 2x + 8, or 2(18) + 8, which equals 44.

## How to check the answer

There are a few different ways that you can check the answer to this question. One way is to plug the numbers into the equation and solve for the larger number. Another way is to create a visual representation of the equation using two line segments. If the two line segments are of equal length, then the answer is . However, if one line segment is twice as long as the other, then the answer is .

## Why this math problem is relevant

This math problem is relevant because it helps us to understand the concept of addition and subtraction. In this problem, we are given two numbers and asked to find the difference between them. By finding the difference, we can see that one number is eight more than twice the other number. This knowledge can be useful in many different situations, such as when we are trying to solve word problems or when we are doing mental math.

## Conclusion

In conclusion, we have seen that the larger number in this problem is 43. We solved this by setting up equations and solving for our unknown variable with algebraic techniques. With a little bit of practice, you can easily solve problems like these yourself! If you ever find yourself stuck when trying to solve similar problems, remember to break them down into equations and use your algebra skills to find the solution.

2. Have you ever been stumped by a math problem?

If so, don’t worry, you’re not alone!

Let’s take a look at this one number conundrum: one number is eight more than twice another. If their difference is 25, what is the larger number?

This type of problem can be solved by setting up a pair of equations and solving for the unknown. The first equation is the statement of the problem: one number is eight more than twice another. We can write this equation as:

x + 8 = 2y

Now, we need to use the second piece of information, which is that their difference is 25. We can write this as:

x – y = 25

Now, we have two equations with two unknowns – x and y. To solve the problem, we must solve both equations for the same unknown. If we solve the first equation for x, we get:

x = 2y – 8

Substituting this expression for x into the second equation, we get:

2y – 8 – y = 25

We can solve this equation for y:

y = 17

Finally, we can substitute this value into the first equation to solve for x:

x = 2(17) – 8

x = 26

The larger number is 26!

We hope this helps you solve similar problems in the future!