The number N is a two-digit number.
• When N is divided by 9, the remainder is 1.
• When N is divided by 10, the remainder is 3.
What is the remainder when N is divided by 11?
+1005 Since dividing by 10 gives R3, the number must end in a 3. Since remainder of /9 is 1, the multiple must be (3-1).
8*9 = 72.
72+1 = 73, which satisfies bullets 1 & 2.
73/11 = 6R7.
Answer's 7.
If you don't understand anything feel free to ask.
+1005 Since dividing by 10 gives R3, the number must end in a 3. Since remainder of /9 is 1, the multiple must be (3-1).
8*9 = 72.
72+1 = 73, which satisfies bullets 1 & 2.
73/11 = 6R7.
Answer's 7.
If you don't understand anything feel free to ask.
