Question 33
Suppose $a, b, c, d$ are real numbers such that
$$
|a-b|+|c-d|=99 ; \quad|a-c|+|b-d|=1
$$
Determine all possible values of $|a-d|+|b-c|$.
$$
|a-b|+|c-d|=99 ; \quad|a-c|+|b-d|=1
$$
Determine all possible values of $|a-d|+|b-c|$.
Math Olympiad Vault · MathNet 2002 — Part 02