A is a two digit number and B is obtained from A by reversing its digits.

For example, if A is 42 then B is 24. Assume that AB is greater than BA (AB is not A multiplied by B. It is just the decimal representation. For example, if A is 42 and B is 24 then AB is 4224 and BA is 2442). Which of the following is always true?

(A) The largest prime factor of AB−BA is 7.

(B) The largest prime factor of AB+BA is 11.

(C) The largest prime factor of AB+BA is 101.

(D) The largest prime factor of AB − BA is always equal to the smallest prime factor of AB+BA