Math Problem Statement
How many three-digit even numbers which are divisible by 11 also have the sum of their digits equal to 10?
Solution
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Math Problem Analysis
Mathematical Concepts
Number Theory
Divisibility Rules
Digit Sum Constraints
Formulas
Three-digit number representation: 100a + 10b + c
Sum of digits: a + b + c = 10
Divisibility rule for 11: a - b + c = 0 or a - b + c = 11
Theorems
Divisibility Rule for 11
Suitable Grade Level
Grades 9-10
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