+0

# Algebra

0
74
2

Suppose that

\(|a - b| + |b - c| + |c - d| + \dots + |m-n| + |n-o| + \cdots+ |x - y| + |y - z| + |z - a| = 20\)

What is the maximum possible value of \(|a-n|\)?

Mar 13, 2020

#1
+1

The inequality says that any two variables can differ by at most 20, so the maximum value is 20.

Mar 13, 2020
#2
+20802
+1

My guess is that the maximum will occur when all the variables (except for n) is zero.

This would mean that n = 10 and the maximum value of abs(a - n) = 10.

Mar 14, 2020