Let the price of a book be ABCD.EF. Then 100 books would cost ABCDEF.00 So we subtract the price of 1 book from ABCDEF.00 and get G38254.1H, the price of 99 books. So we have this subtraction A B C D E F.0 0 - A B C D.E F --------------- G 3 8 2 5 4.1 H So G=A, 10-F=H and 9-E=1, so E=8 A B C D 8 F.0 0 - A B C D.8 F --------------- A 3 8 2 5 4.1 H F cannot be 0, since that would make H be 10. Depending on whether we will have to borrow from the 8 above the C, C must be either 2 or 3, so those two cases are: A B 2 D 8 F.0 0 A B 3 D 8 F.0 0 - A B 2 D.8 F - A B 3 D.8 F --------------- --------------- A 3 8 2 5 4.1 H A 3 8 2 5 4.1 H Either way, we know we'll have to borrow from the B to make the 2 a 12. So 12-A=8 so A is 4. And since we borrow from B, B=4 So these two cases become 4 4 2 D 8 F.0 0 4 4 3 D 8 F.0 0 - 4 4 2 D.8 F - 4 4 3 D.8 F --------------- --------------- 4 3 8 2 5 4.1 H 4 3 8 2 5 4.1 H Now we see that D can only be 6: 4 4 2 6 8 F.0 0 4 4 3 6 8 F.0 0 - 4 4 2 6.8 F - 4 4 3 6.8 F --------------- --------------- 4 3 8 2 5 4.1 H 4 3 8 2 5 4.1 H That tells us that we did have to borrow from the 8, so that eliminates the second case and makes F having to have been scratched with a zero over it, which makes F=1 4 4 2 6 8 1.0 0 - 4 4 2 6.8 1 --------------- 4 3 8 2 5 4.1 H So we finally see that H=9. 4 4 2 6 8 1.0 0 - 4 4 2 6.8 1 --------------- 4 3 8 2 5 4.1 9 So the missing digits are 4 and 9. [Can you believe that a textbook would cost $4426.81?] Edwin