Question

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

Answer 1

`=>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`