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First I thought about multiples of 3 and 4 and which numbers are in both multiples.

So I tried 12 at first but a quarter of 12 is 3 and then if you add 2 it's 5 and that is not a third of 12.

Next, I tried 24 so a quarter is 6 and if you add 2 it's 8. And that is a third of 24. The method I used is Guess, t and Improve. I think this is a useful method because in this problem it wouldn't be efficient to just test all the number and logically that would take a long time to reach 24. So that's why I think Guess, Check and improve is efficient.