mathematics - A new PSE member with square reputation

A new Puzzling Stack Exchange member (reputation = 1) asked a good question.
He got a square number upvotes, and a square number downvotes.
(more Upvotes than Downvotes)
So, His reputation is a square number below 500.

Then he answered a question, and got good responses.
Again, he got a square number upvotes, and a square number downvotes.
(more Upvotes than Downvotes)
Again, his reputation now is a square number, but still not more than 500.

How many upvote and downvote he get after asking?
Then, How many upvote and downvote he get after answering?

Bonus Question : How if he answer first before asking?

Answer

In the beginning, when he asks he gets

64 upvotes and 16 downvotes ending up with 289 rep = 17$^2$ rep

and then after he answers the question, he gets

16 upvotes and 4 downvotes ending up with 441 rep = 21$^2$ rep

so we are done!! :)

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For the Bonus:

After answering he gets

49 upvotes and 25 downvotes ending up with 441 rep = 21$^2$ rep

and then after asking he gets

9 upvotes and 1 downvote ending up with 484 rep = 22$^2$ rep

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EDIT: HOW I FIGURED IT OUT

The riddle never said anything about having to use pencil and paper so I made an assumption and assumed that both numbers were less than 200. Then I wrote a short C++ program and tested all possibilities, ending up with both my answers. Total time taken: 4 min and 30 sec.