Math Problem Statement

Ollie arranges the numbers 1 to 6 to form three 2-digit numbers. Exactly one of his numbers divides by 3 and exactly one other divides by 4. None of them divide by 5. The three numbers add to 93. What is the number which does not divide by either 3 or 4?

Solution

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Math Problem Analysis

Mathematical Concepts

Number Theory
Divisibility Rules
Addition

Formulas

Divisibility by 3: sum of digits divisible by 3
Divisibility by 4: last two digits divisible by 4
Divisibility by 5: last digit is 0 or 5

Theorems

Divisibility Rules

Suitable Grade Level

Grades 5-7