A: If h is divided by b, and the remainder is 9, then b + d must be equal to h - 9 or h - 5. If c is divided by d, and the remainder is 5, then c must be divided by d. If b + d is equal to h - 5 or h - 9, it is not possible for b + d to be equal to c - 5. The answer is (E).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step.
Q:h, b, c, and d are positive integers. If the remainder is 9 when h is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d? Answer Choices: A) 20 B) 19 C) 18 D) 16 E) 15