Math Problem Statement
Numbers 12284 and 7656 when divided by a certain 3 digit number leaves the same remainder .Find the three digit number
Solution
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Math Problem Analysis
Mathematical Concepts
Number Theory
Divisibility
Modular Arithmetic
Formulas
12284 = kn + r
7656 = mn + r
12284 - 7656 = (k - m)n
4628 = (k - m)n
Theorems
Divisibility Theorem
Modular Arithmetic Theorem
Suitable Grade Level
Grades 9-12
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