Problem Solving (PS) | The digits of a three-digit number A are written in the reverse order

The digits of a three-digit number A are written in the reverse order to form another three-digit number B. If B>A and B-A is perfectly divisible by 7, then which of the following is necessarily true?

(A) 100 < A < 299

(B) 106 < A < 305

(C) 112 < A < 311

(D) 118 < A < 317

(E) 122 < A < 337

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