The sum of 2 positive integers is 216 and their gcf is 24. Find all possibilities.

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REFLECTIONS

To solve the problem above without Guess-Test-Revise requires a more (P)rofound (U)nderstanding of (F)undamental (M)athematics - thus the acronym in the title. (Research Liping Ma for more info).

To solve the problem above without Guess-Test-Revise requires a more (P)rofound (U)nderstanding of (F)undamental (M)athematics - thus the acronym in the title. (Research Liping Ma for more info).

Students may find solutions by playing around with multiples of 24 on their calculator and that is a good thing. That's how we learn. But...

How many will discover without our guidance a systematic approach to finding the 3 pairs of numbers. A method which makes sense to them and can be applied to more complex problems...

I believe there are BIG IDEAS, aka Fundamental Arithmetic Principles, embedded in this innocent question. I've said enough...

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