You want to list all the positive two-digit numbers for which the (September 2023 - G01)

Correct answer: B. 3.
Here's how to find the two-digit numbers that meet the criteria:

Sum of Digits is 12: We know the sum of the tens digit (x) and the units digit (y) must equal 12:
x + y = 12
Units Digit Larger than Tens Digit: We want y (units digit) to be greater than x (tens digit).

Possible Values for Tens Digit (x): Since y must be larger than x and their sum is 12, we can only consider values for x from 1 to 9 (inclusive).

Finding Corresponding Units Digit (y) for Each Tens Digit (x):
For x = 1, y = 11 (doesn't satisfy y > x, so discard).
For x = 2, y = 10 (doesn't satisfy y > x, so discard).
For x = 3, y = 9 (satisfies y > x).
For x = 4, y = 8 (satisfies y > x).
For x = 5, y = 7 (satisfies y > x).
For x = 6, y = 6 (doesn't satisfy y > x, so discard).
For x = 7, y = 5 (satisfies y > x).
For x = 8, y = 4 (satisfies y > x).
For x = 9, y = 3 (satisfies y > x).

Counting Valid Numbers: There are three valid two-digit numbers (37, 48, 57, 75, 84, 93) that satisfy both conditions.
Therefore, there are B. 3 two-digit numbers on the list