How do you explain the following addition problems?
87678 185634
+ 43125 + 86257
------- --------
1821784 62872
(In reply to
solution by Josh70679)
For the addition to be consistent with any rules I know of, the explanation is most likely to be a strange base. If n > 0, the sum on the right would be less than either summand, and all 3 are positive. Thus n > 0. So I started by looking at it as a polynomial problem in base n, looking for a integer solution to both equations. Simplifying both sides we get
n^6 + 8n^5 - 10n^4 - 9n^3 - n - 9 = 0
n^5 + 10n^4 + 9n^3 + n + 9 = 0
The constant (+/-)9 in each equation means and integer solution must divide 9, and all the numerals 1 thru 8 are used in the origiinal equations, so -9 is the most likely bet. Plug in -9 for n and voila
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Posted by josh
on 2005-07-06 02:43:21 |
re: solution -how i got it
