Did anybody notice the following questions are (kind of) the same or can be described as one broad question?

  1. Find all integral solutions to $a+b+c=abc$

  2. Solve the equation $a+b+c=abc$ for $a,b,c\in\mathbb{Z}$

  3. All solutions of $a+b+c=abc$ in natural numbers

  4. Rational solutions to $a+b+c=abc=6$

  5. Integer solutions to $ab=a+b$

  6. An equation of the form $A + B + C = ABC$, An arctan problem including a Diophantine equation

  7. From $\tan(1/A) = \tan(1/B) + \tan(1/C)$ to $A + B + C = ABC$

  8. Sum of digits and product of digits is equal (3 digit number)

  9. Solve $x + y + z = xyz$ such that $x , y , z \neq0$

What does the meta-community think about it? Does it make sense to keep only one alive and (maybe the oldest or that one with maximum views) make the rest archived?

  • 4
    $\begingroup$ To me, 1. (=4.) is the best duplicate target. 5. and 6. are not duplicate to 1. $\endgroup$ Dec 15 '21 at 18:36
  • 13
    $\begingroup$ If you believe that a question is a duplicate of another, please flag that question as a duplicate. The community can then vote on whether or not to close the flagged question. This does not require meta discussion. If you believe that one question is an exact copy of another, it is possible to merge questions, but this requires diamond moderator intervention. You can request such intervention with a custom flag (but please use this sparingly). $\endgroup$
    – Xander Henderson Mod
    Dec 15 '21 at 18:38
  • $\begingroup$ @ArcticChar Oops, [1] and [4] were duplicate. Removed [4]. $\endgroup$
    – hola
    Dec 15 '21 at 20:49
  • 6
    $\begingroup$ I guess that the tags (exact-duplicates) and (merging) might be suitable here. (I did not edit the tags since I wasn't sure whether your are using the word merging as a technical term or in som eother meaning.) $\endgroup$ Dec 15 '21 at 20:53
  • $\begingroup$ Related math.stackexchange.com/questions/977926/… $\endgroup$
    – hola
    Jan 20 at 17:56

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