Library / Slovenia — National Math Olympiad /2 of 122

Slovenia — National Math Olympiad, 2012

Algebra Difficulty 3.6 AMC 10/12 Find the answer Slovenia

What is the sum of all the real numbers that solve the equation $|x - 2011| + |x - 2012| = 3$ ?

Pick one

Solution

There are only two such real numbers: $2010$ and $2013$ . Their sum is equal to $4023$ .

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.