Most absurd old SAT math trap question

I am feeling pretty humbled. That question that you posted @MITer94

Let j and k be positive integers. What is the largest possible value of j+k given that j^2 = k^2 + 252?

I like your starting point Xiggi. But from there I didn’t use the 16^2 = 256 part. I did something pretty different and came up with 126. I am not sure if that is right, but if it is that felt pretty hard. And if it isn’t then I guess it is even harder than it felt, lol!!! Can I assume that is not an SAT question? If so I was completely missing something and again maybe jumping into things before thinking it through.

I feel like this thread has gotten pretty derailed!!! I am enjoying it nonetheless!