[rookie1ja]

No. 8 - Back to the Cryptograms and Algebra Puzzles
Replace the same characters by the same numerals so that the mathematical operations are correct.
KAJAK
KAJAK
KAJAK
KAJAK
KAJAK
KAJAK
----------
VESLO

Spoiler for Solution

No. 8 - solution
15451 * 6 = 92706

[Shryke]

Hi,

this was my approach:
because VESLO is also 5 digits long, K must be less then 1/6 of 10 which means it´s 1.
That make O=6.
"V" must be greater or equal 6 and not equal "O". So it is greater equal 7.
"A" must be less then 6 in order to keep the sum 5 digits long.

The rest was more or less brute force.
I saw that A=3 and A=4 did not work well because of repeating digits on the VESLO side.

What I would like to know:
Is there a more elegant approach to the solution of this riddle ?

Regards
Shryke

[rover]

Found the answer mostly thru trial and error.
Like Shryke, I knew K=1 and therefor O=6, because VESLO was only 5 digits long like KAJAK.
"V" then had to be >6. Substituting numbers>1 I soon found that "A" was not 2,3, or 4.
Everything soon fell into place and I had the answer.

Spoiler for

K=1 6(KAJAK) = VESLO
A=5 6(15451) = 92706
J=4
V=9
E=2
S=7
L=0
O=6

This post has been edited by rover: 03 February 2010 - 03:03 AM