Let \(a_1\), \(a_2\), and \(a_3\) be real numbers such that \(|a_1 - a_2| + |a_2 - a_3| + |a_3 - a_1| = 100.\) What is the largest possible value of \(|a_1 - a_2|\)?
Problem: Let a_1, a_2, a_3 be real numbers such that
|a_1 - a_2| + |a_2 - a_3| + |a_3 - a_1| = 100. What is the largest possible value of |a_1 - a_2|?
Answer: 10