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MCIII Number Theory 2.19

 
 
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Re: MCIII Number Theory 2.19
by Tina Jin - Thursday, 4 January 2024, 9:28 PM
 

Thank you! Here's what i did:

let a_i=student that is equal to the other students in the row's sum

then a1+a2+...+an=98*99/2-(a1+a2+...+an)

moving the a1+a2+...+an to the other side and dividing by two yeilds

a1+a2+...+an=98*99/4≠integer, so contradiction and hence not possible.

Thanks,

Tina Jin