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MathNet 2016-part-06 — 184 problems (EN–VI) Question 60

Math Olympiad Vault · MathNet 2016-part-06 — 184 problems (EN–VI)

Question 60

Find how many integer solutions the equation
$$
|5 - x_1 - x_2| + |5 + x_1 - x_2| + |5 + x_2 + x_3| + |5 + x_2 - x_3| = 20
$$
has.