Understanding the Problem and Solving Equations

The video tutorial explains how to solve a problem where one positive number is five times another, and their difference is 484. By using a single variable, the smaller number is represented as x, and the larger number as 5x. The equation 5x - x = 484 is solved to find x = 121, making the smaller number 121 and the larger number 605. The tutorial provides a step-by-step explanation of setting up and solving the equation, concluding with the final solution.

What is the relationship between the two numbers in the problem?

• The numbers are equal.

• One number is five times the other.

• One number is twice the other.

• One number is half the other.

If x is the smaller number, how can we express the larger number?

• x + 5

• 5x

• x - 5

• x/5

What equation represents the difference between the two numbers?

• 5x - x = 484

• 5x + x = 484

• x + 5x = 484

• x - 5x = 484

How do you solve for x in the equation 4x = 484?

• Multiply both sides by 4

• Add 4 to both sides

• Divide both sides by 4

• Subtract 4 from both sides

What is the value of the smaller number?

• 242

• 605

• 121

• 484

What is the value of the larger number?

• 605

• 121

• 484

• 242

What operation is used to find the larger number from the smaller number?

• Division

• Subtraction

• Addition

• Multiplication

What is the final step in solving the problem?

• Setting up the equation

• Checking the solution

• Finding the difference

• Multiplying the numbers

What is the difference between the two numbers?

• 605

• 242

• 121

• 484

What is the purpose of the video tutorial?

• To explain a complex mathematical theory

• To solve a problem involving two numbers

• To teach basic arithmetic operations

• To discuss the history of mathematics