Arithmetic operation

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Given $$9 ∆ 4=20,$$ $$7 ∆ 3=12,$$ $$10 ∆ 8=16,$$ find $m ∆ n$.

I have tried so many ways to get this but I may be missing something.

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As @lulu said in comments, it's mainly a guessing idea.

I noticed that the second number was divisible by the answer. $\frac{20}{4}=5, \frac{12}{3}=4$, et cetera. So one would think that a multiplication of $n$ would be involved. From there, it's just a matter of what to multiply by. Trying it out leads to $$(m-n)\cdot n.$$