# Challenger Puzzle #1

First published: Tuesday May 2nd, 2023

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## 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.

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.