Solving Digit Problems and Equations

The video tutorial explains how to solve a problem involving a two-digit number where the sum of the digits is 11, and the tens digit is three less than the ones digit. The instructor guides through understanding the problem, setting up equations, solving them, and verifying the solution. The final answer is determined to be 47, and the process is checked for accuracy.

What is the sum of the digits of the two-digit number in the problem?

• 12

• 11

• 10

• 9

If the tens digit is three less than the ones digit, what is the relationship between them?

• Tens digit is less

• Tens digit is greater

• They are equal

• Ones digit is less

What is the tens digit in the number 24?

• 8

• 6

• 4

• 2

In the number 324, what is the hundreds digit?

• 5

• 2

• 3

• 4

How do we represent a two-digit number using variables?

• Y-X

• X+Y

• YX

• XY

What is the role of the tens digit in a two-digit number?

• It is irrelevant

• It determines the number's value

• It is always less

• It is always greater

What is the role of the ones digit in a two-digit number?

• It is always greater

• It is always less

• It determines the number's value

• It is irrelevant

What equation represents the sum of the digits being 11?

• x * y = 11

• x + y = 11

• x + y = 10

• x - y = 11

What equation represents the tens digit being three less than the ones digit?

• y = x + 3

• y = x - 3

• x = y + 3

• x = y - 3

What is the first step in solving the equations for the digits?

• Add the equations

• Subtract the equations

• Substitute one equation into the other

• Multiply the equations