Two-Digit Number Properties

The video tutorial explains how to solve a problem involving a two-digit number where the sum of its digits is 11. It describes how reversing the digits increases the number by 45. The tutorial guides through formulating equations based on these conditions, solving them using elimination, and finding the original number, which is 38.

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

• 11

• 10

• 12

• 9

If A is the tens digit and B is the units digit, how is the number expressed?

• A + B

• AB

• 10A + B

• A + 10B

What happens to the number when its digits are reversed?

• It decreases by 45

• It doubles

• It remains the same

• It increases by 45

Which equation represents the condition after reversing the digits?

• 10A + B = 10B + A + 45

• 10B + A = 10A + B + 45

• 10A + B = 10B + A - 45

• 10B + A = 10A + B - 45

What is the simplified form of the equation 10B + A - 10A - B = 45?

• 9B - 9A = 45

• 9A - 9B = 45

• 9B + 9A = 45

• 9A + 9B = 45

How is the value of B determined from the equation 9B - 9A = 45?

• B = 8

• B = 7

• B = 6

• B = 5

If B is 8, what is the value of A given that A + B = 11?

• A = 2

• A = 4

• A = 3

• A = 5

What is the original two-digit number?

• 39

• 38

• 37

• 36