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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 \(|a_1 - a_2|\)?

 Apr 1, 2024
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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

 Apr 17, 2024

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