People really like to twist the numbers and digits bringing fun into life. For example, someone asks, “how much is two and two?” : the answer should be four according to basic (decimal based) arithmetic. But the same  with base three (in ternary number system) equals to 11. Two and Two also equals to Twenty Two. Similarly there are many ways you can add them and get different results.

Dmitri A. Borgmann, the German recreationalist, puzzler and father of logology, noticed the following expression

11+2-1=12

which is valid in following four ways:

1. Usual Decimal Summation:
11+2=13 & 13-1=12 $\Rightarrow$ 11+2-1=12.
2. As Roman Numerals:
XI + II = XIII     & XIII – I = XII $\Rightarrow$ XI+II-I=XII.
3. As set of Characters:
11 added 2 = 112 & 112 removed 1= 12
4. As set of letters:
ELEVEN + TWO = ELEVENTWO
&              ELEVENTWO - ONE = LEVETW = TWELVE.

So, is there any other expression like this?

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Newton’s Trinity College Notebook is Online!

Cambridge Digital Library had made Newton’s exceptionally great works online. Some times ago they added the Trinity College…

Free Online Calculus Text Books

Once I listed books on Algebra and Related Mathematics in this article, Since then I was receiving emails…

Triangle Inequality

Triangle inequality has its name on a geometrical fact that the length of one side of a triangle…

Solving Integral Equations – (1) Definitions and Types

If you have finished your course in Calculus and Differential Equations, you should head to your next milestone:…
Prove that ${(x+y)}^n-x^n-y^n$ is divisible by $xy(x+y) \times (x^2+xy+y^2)$ if $n$ is an odd number…