Finding Two Numbers with Conditions

The video tutorial explains how to find two numbers based on given conditions using a linear equation. It starts by defining the problem, setting up the equation with variables, and then solving it step-by-step. The solution is verified by checking the sum of the numbers, ensuring the correctness of the answer.

What is the sum of the two numbers we need to find?

• 51

• 15

• 36

• 21

If one number is 21 less than the other, how can we express the smaller number in terms of x?

• x + 21

• x

• x - 21

• 21 - x

What equation represents the sum of the two numbers?

• x + 21 = 51

• x - 21 = 51

• x + x - 21 = 51

• x + x + 21 = 51

What is the first step to solve the equation 2x - 21 = 51?

• Subtract 21 from both sides

• Divide both sides by 2

• Add 21 to both sides

• Multiply both sides by 2

After solving the equation, what is the value of x?

• 15

• 21

• 36

• 51

What is the larger number in the problem?

• 51

• 36

• 21

• 15

How do you find the smaller number once you know x?

• x + 21

• x - 21

• x

• 21 - x

What is the smaller number in the problem?

• 51

• 36

• 15

• 21

How can you verify that the numbers found are correct?

• Check if their difference is 21

• Check if their sum is 36

• Check if their sum is 51

• Check if their product is 51