Quandaries and Queries
 

 

Lasse's Solution

(This document has been translated from Dansih for the Math Central staff)

xy
xx
xyx
xxx
xyxx

"x" and "y" each represents a number.

Find out the system to make the next line

Explanation:

x = 1, y = 0

-----------

10
11
101
111
1011

Each line now represents a number in the binary system.

-----------

Convert these numbers into our own 0-9system and you get:

2
3
5
7
11

Primary numbers

-----------

Next prime is 13

13 in binary is: 1101

Therefor, the next line is: xxyx

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If it's not possible to solve the puzzle without more information,

can you try if it's possible if another textline is added ?

I mean:

xy
xx
xyx
xxx
xyxx
xxyx

and then the solver should try and find

xyyyx (17)

 

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