Math Olympiad: Solving Non-standard simultaneous Equations

Here I solve these Math Olympiad Non-standard simultaneous Equations.

I will find the integer solutions for the equation system a^2-b^2=21 and b^2-c^2=20.

[thevectorspaceofmath]

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[iainjohnson]

Only 11 and 10 work in the first equation. No squared numbers can be minused to make 20

[rekoii_chad]

this basically 8th grades math in asia 💀