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MathNet 2002 — Part 02 Question 33

Math Olympiad Vault · MathNet 2002 — Part 02

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 $|a-d|+|b-c|$.