Challenger Puzzle #1

+5

Some Equations

As an educator, I have always enjoyed creating my own puzzles.  This makes it so people cannot just look up answers online.  They either solve it or will never know the answer.  Enjoy this puzzle.  I would call this "extreme" in terms of difficulty.  Good luck!


I have invented a mathematical system.  I can always give you more information about my mathematical system, but this should be enough for you to dig in and figure things out!

I.  10 + 110 = 120

II.  1 + 1 = 10

III.  211 * 10 = 1100

IV.  4020 / 1001 = 20

V.  121,310 - 112,220 = 4020

VI.  43,011 - 24,301 = 13,110


Using these equations, solve the following problem:

Let A = 1.  Let B = A + 1.  Let C = B + 1, and so forth.

What is ABCDEFGHIJK - 1?


Hint:  I used Roman numerals just to differentiate from my math system.  They are not part of the problem.

+3
Level 58
May 2, 2023
I have.....no clue.
+8
Level 75
May 2, 2023
You actually have 6!
+1
Level 30
May 3, 2023
lol
+2
Level 67
May 2, 2023
Is ABCDEFGHIJK a base-10 number (i.e. 1234567891011) or is it a number based on your system or something else that we need to work out?
+2
Level 75
May 3, 2023
It’s A x B x C x D x E…
+3
Level 75
May 3, 2023
The calculation could be in my system, but I’d recognize the standard number, too. My system’s number is much better and more satisfying, though. :)
+4
Level 67
May 3, 2023
OK. Is the answer A987654321 (using the base-16 digit convention)?
+2
Level 75
May 3, 2023
Well dang, that was fast! Nicely done!
+1
Level 57
May 3, 2023
Shoot. I still haven't gotten remotely close to finishing your Impossible Quiz and now there's another puzzle! Is this number system, by any chance, related to the one in The Impossible Quiz?

My first impression was that V and IV as well as I and II or I and III are directly connected; there's no need to solve the pattern. This doesn't seem to hold, though. Also, bases don't seem to work here (ABCDEFGHIJK is 37713647386641440 from base 36), so I'm stumped so far.

+3
Level 75
May 3, 2023
It’s not… unrelated… ;)