Math Problem Statement
I have below problem, just tell me can you solve it, without say anything about the answer
Each of logicians A, B and C wears a hat with a positive integer on it. The number on one hat is the sum of the numbers on the other two. The logicians see the numbers on all hats except their own. The logicians are error-free in their reasoning and have all the information given so far. They make statements as follows. A: "My number is 10." What numbers are on B and C?
Solution
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Math Problem Analysis
Mathematical Concepts
Number Theory
Diophantine Equations
Formulas
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Theorems
Diophantine equations
Suitable Grade Level
Grades 10-12