Analyzing the date confusion
Okay, let's break this down. The user says they were born in "7D2," which seems like it's in hexadecimal. So, 7D2 in hex equals 2002 in decimal — I got that! But... hmm, the user claims they are 17 years old in 2025. That would mean they were born in 2008, not 2002! That's puzzling. Maybe there's something else going on here, like a typo or a different calendar system. Hmm, let me check again. We’ve got 2025 minus 2002, and that’s actually 23 years, not 17.
Evaluating the date confusion
Alright, the statement has a contradiction if we assume "7D2" is in decimal, because 2025 - 2002 equals 23, not 17. But if "7D2" was hex, it would be 2002, so the age would be 23. So if the narrator is 17 in 2025, they should’ve been born in 2008. Wait, could "7D2" be a system other than hexadecimal? Maybe base 12 or base 14, but "D" doesn’t quite fit in base 12. Hmm, looks like "7D2" really should represent 2008 somehow. I'll keep thinking.
Exploring numeral systems
Alright, "7D2" should represent 2008, but when I try different bases like 15, 18, or 20, nothing works quite right. In hex, it represents 2002, which makes the age 23, not 17. So maybe the numeral system isn't hex; maybe "D" stands for a different value in another system. I can even set up an equation with the unknown base, but trying to solve it led me to a non-perfect square, so I’m still stuck. It's possible the numeral system is mixed or the text has a typo.
Reasoned for 20 seconds