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 + 4), the remainder is also D. If P/Q = 1020.75 and P/(Q + 4) = 816.6, then which of the following gives the correct set of {D, Q}? Choose the correct option:
A) {6, 12}
B) {6, 15}
C) {12, 16}
D) {9, 15}
E) {15, 24}
p/q= d=p/q+4   d= .75 q   d= .6(q+4)   we get d = 12 and q = 16. Answer = {12, 16}.
<result>C</result>
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 + 4), the remainder is also D. If P/Q = 1020.75 and P/(Q + 4) = 816.6, then which of the following gives the correct set of {D, Q}?