# the chessboard

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• May 2nd 2009, 08:00 AM
adhyeta
the chessboard
help me with this amazing problem. i have it in a doc file as i dont have paint (Rofl)
• May 2nd 2009, 08:01 AM
adhyeta
i also have a hint(almost the complete solution) which leads me nowhere...i can gve that to if you need.
• May 2nd 2009, 08:44 AM
Plato
You will end up eight distinct numbers $a,~b+8,~c+16,~d+24,~e+32,~f+40,~g+48,~h+56$.
Each of a,b,c,d,e,f,g,h is distinct and between 0 & 9.
So the sum $a+b+c+d+e+f+g+h=36$
What is $\sum\limits_{k = 1}^7 {8k} = ?$
• May 2nd 2009, 08:49 AM
adhyeta
(Clapping)(Clapping)(Clapping)(Clapping)(Clapping)

its 224 + the 36 makes it 260.

but could you explain again how you got those two observations?

(Nerd)
• May 2nd 2009, 09:01 AM
Plato
Quote:

Originally Posted by adhyeta
but could you explain again how you got those two observations?

Well you play with it awhile.
Pick at random one number from each row and column.
See if you can put them into the form that I used.