There are 40 equally spaced seats around a large round table. What seat number is directly opposite seat number 32?

1 Answer
NJ
May 30, 2018

#=>12#

Explanation:

This can be represented by a piecewise function depending on the seat number #n in ZZ# where #1<= n <= 40#.

The seat directly across from seat number #n#, call it #a(n)#, will be given as:

#a(n) = { (n+20 " , " n <= 20), (n-20 " , " n>20") :}#

So for #n=32#, we get:

#a(32) = 32-20 = 12#

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