Elizabeth is interested in dividing the rooms in the house among the family. Unfortunately, they do not divide equally. It turns out that in order for the rooms to be dividable, Elizabeth has to build two more rooms and kick out one of the family members. Which of the following can describe the number of the initial rooms in the house and the initial number of family members (in the order Rooms, family)?	Choose one:  A) 20; 8.  B) 30; 9  C) 15; 6  D) 10; 5.  E) 22; 10.
Scientists have found new evidence.   Let R be the initial number of rooms and F be the no of members   Then as per the given question : R+2 should be divisible by F-1..   Now check the given values and see which satisfy the above   Only two values satisfy the condition :   10, 5   30,9   10,5 can't be the solution as its already mentioned in statement that the initial no of room are not divisible by the initial no of family members .. hence answer is 30,9   ANSWER:30; 9
<result>B</result>
Elizabeth is interested in dividing the rooms in the house among the family. Unfortunately, they do not divide equally. It turns out that in order for the rooms to be dividable, Elizabeth has to build two more rooms and kick out one of the family members. Which of the following can describe the number of the initial rooms in the house and the initial number of family members (in the order Rooms, family)?