Q and R are two-digit positive integers that have the same digits but in reverse order. If the positive difference between Q and R is less than 30, what is the greatest possible value of Q minus R? Pick
A) 23
B) 24
C) 25
D) 26
E) 27
A two-digit integer "ab" can be expressed algebraically as 10a+b.   Q-R=(10a+b)-(10b+a)=9(a-b)&lt;30.   The greatest multiple of 9 which is less than 30 is 27.   The answer is 27.
<result>E</result>
Q and R are two-digit positive integers that have the same digits but in reverse order. If the positive difference between Q and R is less than 30, what is the greatest possible value of Q minus R?