Can you find two 3-digit numbers that add to a third 3-digit number, such that all the digits from 1 through 9 are used exactly once?
I don't have an answer. The puzzle occurred to me as I was answering Mandy's question http://answers.yahoo.com/question/?qid=20071107115447AAkD2Ah
2007-11-07 07:25:56 · 7 answers · asked by DWRead 7 in Science & Mathematics ➔ Mathematics
576 = 192 + 384
819 = 273 + 546
2007-11-08 11:03:44 · answer #1 · answered by Mugen is Strong 7 · 2⤊ 0⤋
293 + 175 = 468
2007-11-07 15:47:35 · answer #2 · answered by j_kkachi 2 · 0⤊ 0⤋
157
+ 482
= 639
2007-11-07 15:44:13 · answer #3 · answered by Any day 6 · 0⤊ 0⤋
Yes! There are loads of combinations, one example is:
146 + 583 = 729
No elegant proofs I'm afraid, I just wrote a program to search for the sums that fitted the criterion.
2007-11-07 15:51:52 · answer #4 · answered by NukieNige 2 · 0⤊ 0⤋
129
735
-----
864
I'm not sure of a method to actually finding it since I just kept swapping numbers until something worked.
2007-11-07 15:41:53 · answer #5 · answered by Kris S 4 · 0⤊ 0⤋
586 + 341 = 937
I thought of that myself.
2007-11-07 15:37:54 · answer #6 · answered by A A 3 · 0⤊ 2⤋
157
482
___
639
2007-11-07 15:37:10 · answer #7 · answered by hayharbr 7 · 0⤊ 0⤋