Mysterious Journey II Hints

I'm brave -- let's try it in base 12.

  • 1 of 8: This really isn't going to be that bad, since there is no "carrying" involved.
  • 2 of 8: Normally, we'd add two 4-digit numbers starting from the right column (so that we can do any "carries" that are necessary).  But in this case, we can just start from the left column.
  • 3 of 8: Our two base-12 numbers are:
          3468
       +  8041
  • 4 of 8: Adding the first column (3 and 8) gives 11 (remember, there is no carrying in this case -- carrying only happens when the number is worth 12 or more -- 11 is a "single digit" number in base 12).
  • 5 of 8: Adding the second column (4 and 0) gives 4.
  • 6 of 8: Adding the third column (6 and 4) gives 10.  (Remember, there is no carrying -- 10 is a "single digit" in base 12.)
  • 7 of 8: Adding the fourth column (8 and 1) gives 9.
  • 8 of 8: Therefore, the four base-12 numbers in our solution are 11, 4, 10, and 9.