Positive integers

Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper?

Result

n =  2

Solution:

a=(a+b+c)/2 b=(a+b+c)/2 c=(a+b+c)/2  a=b=c=... s=na a=s/2  a=na/2 1=n/2  n=2a=(a+b+c)/2 \ \\ b=(a+b+c)/2 \ \\ c=(a+b+c)/2 \ \\ \ \\ a=b=c=... \ \\ s=na \ \\ a=s/2 \ \\ \ \\ a=na/2 \ \\ 1=n/2 \ \\ \ \\ n=2



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