Mathematically Find Max Value without Conditional Comparison

Question

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codymanix and moonshadow have been a big help thus far. I was able to solve my problem using the equations and instead of using right

Answer 1

I guess this one would be the most simplest if we manage to find difference between two numbers (only the magnitude not sign)

max = ((a+b)+|a-b|)/2;

where |a-b| is a magnitude of difference between a and b.