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
Trial and Error

Formulas

Sum of the digits rule for divisibility by 3
Last two digits rule for divisibility by 4

Theorems

Divisibility Theorem: A number is divisible by 3 if the sum of its digits is divisible by 3
Divisibility Theorem: A number is divisible by 4 if the number formed by the last two digits is divisible by 4

Suitable Grade Level

Grades 6-8