# Math Help - the chessboard

1. ## the chessboard

help me with this amazing problem. i have it in a doc file as i dont have paint

2. i also have a hint(almost the complete solution) which leads me nowhere...i can gve that to if you need.

3. 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 $\sum\limits_{k = 1}^7 {8k} = ?$

4. its 224 + the 36 makes it 260.

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

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