Find a positive 3-digited number such that
-it has two equal digits(eg.122),
-it has two equal digits when it is changed to base 8(eg.232(8))
-the sum of the digits is fourteen in both number system
Find a number!!!!!!!!!!
2009-01-27 7:41 pm
回答 (2)
2009-01-28 3:43 am
✔ 最佳答案
The question is not dificultSince the sum of the digits is fourteen in both number system
For base 8, the possible combinations are the set
{4,4,6}(5,5,4}{6,6,2}{7,7,0}
Using excel the results are
digit 3 digit 2 digit 1 base 10
4 4 6 294
4 6 4 308
6 4 4 420
5 5 4 364
5 4 5 357
4 5 5 301
6 6 2 434
6 2 6 406
2 6 6 182
7 7 0 504
7 0 7 455
0 7 7 63
So the answer is 707
2009-01-28 12:56 am
This is quite hard, haha.
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