You can of course just halve all the entries to get a more traditional puzzle. Here's a solution to that version. Here's a Wikipedia page discussing the general method; perhaps your son was supposed to use it in this case himself.
Edit: I remembered that I dislike it when mathematicians aren't explicit when they easily could be, so here's an explicit solution:
Code:34 48 2 16 30 46 10 14 28 32 8 12 26 40 44 20 24 38 42 6 22 36 50 4 18




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