## The Hidden Beauty

1. #### James:

Let x = cost of “O”.
Let y = cost of “NE”.
Let w = cost of “TW”.
Let z = cost of “ELEV”.

Then we have:
x + y = 1
w + x = 2
y + z = 11

From the first two equations, we have w – y = 1. Subbing for y, you get w – (11 – z) = 1 w + z = 12. Noting that w = “TW” and z = “ELEV” or “ELVE”, then w + z = “TWELVE”. So the cost of “TWELVE” is 12 dollars.

2. #### Dave:

“TWELVE ONE” is an anagram of “TWO ELEVEN” so the value of “TWELVE” is the sum of the values of “TWO” and “ELEVEN” less the value of “ONE” (or 2+11-1=12)

3. #### tanyakh:

Great!

That was my point: TWELVE + ONE = TWO + ELEVEN in letters, as well as the corresponding numbers.

4. #### tanyakh:

I received a comment by pupugai that a similar equation exists in Russian. It includes numbers 5, 6, 15, 16.

5. #### Al Yunani:

In Greek also Tanya. 5=ΠΕΝΤΕ, 6=ΕΞΙ, 15=ΔΕΚΑΠΕΝΤΕ (10=ΔΕΚΑ), thus ΔΕΚΑΕΞΙ (pronounced “deka eksi” and meaning sixteen )=16.
But, since no anagram is involved…rather trivial I would say. 🙂

6. #### Αγγελος:

It does, but trivially so. 5 is пять, 15 is пятнадцать, 6 is шесть and 16 is шестнадцать.

7. #### Al Yunani:

But, also the Russian seems pretty “trivial”. Right?
5 = пять, 15 = пятнадцать, 6 = шесть and 16 = шестнадцать.

8. #### Ted R:

My gosh, when did Ls get so expensive? When I was a kid you could get 3 Ls and a pack of gum, all for a buck fifty.

9. #### Ted R:

PS: And I suppose that NONE would be free?

10. #### Ted R:

I guess my first joke backfired – it turns out that Ls are free! I had to dig around to find a few more equations, but if
NONE = 0
LOVE = 0 (a la tennis)
ONE = 1
LONE = 1
TWO = 2
TEN = 10
ELEVEN = 11
then (E, L, N, O, T, V, W) = ( 14/3, 0, -1, -8/3, 19/3, -2, -5/3 )

Case closed (& morning wasted).

11. #### tanyakh:

Ted R,

This is beautiful. (Your morning wasn’t wasted.)