A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following could be the difference of A and B ?
Choose the correct choice from the following
A) 72
B) 46
C) 33
D) 24
E) 92
A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B:   A = 10x + y   B = 10y + x   A - B = (10x + y) - (10y + x) = 9(x - y). As you can see the difference must be a multiple of 9. Only option A is a multiple of 9.   72nswer: 72.
<result>A</result>
A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following could be the difference of A and B ?