### Instruction: P and Q are both positive integers. When P is divided by Q, the remainder is some positive integer D, and when P is divided by (Q + 6), the remainder is also D. If P/Q = 1020.75 and P/(Q + 6) = 816.6, then which of the following gives the correct set of {D, Q}?
Answer Choices: (A) {6, 12} (B) {6, 15} (C) {9, 12} (D) {9, 15} (E) {18, 24}.### Response: Let's think about the multi-choice question.
p/q= d=p/q+6
d= .75 q
d= .6(q+6)
we get d = 18 and q = 24. The answer is E.