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1) Suppose that |a+b| + |b+c| + |c+a| = 20. What is the maximum possible value of |a-b|?

2) Suppose that |a - b| + |b - c| + |c - d| + ... + |m-n| + |n-o| + ....+ |x - y| + |y - z| + |z - a| = 20. What is the maxim possible value of |a-n|?

 

Thanks in advance.

 Apr 20, 2020
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1. The maximum possible value of |a - b| is 20.

 

2 The maximum possible value of |a - n| is also 20.

 Apr 21, 2020

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