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 Divisible (Posted on 2011-09-30)
Five single-digit positive integers appear in a sequence.

The sum of the first two is divisible by the second, but not by the first.
The sum of the first three is divisible by the third, but not by the first or the second.
The sum of the first four is divisible by the fourth, but not by the first, second or third.
The sum of the first five is divisible by the fifth, but not by the first, second, third or fourth.

What are the five integers, in order?

 See The Solution Submitted by Charlie Rating: 4.0000 (3 votes)

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 answer | Comment 4 of 6 |

_____  _____  _____  _____
21
31
41
42    421
""    423
51
61
62    621
63    631
71
81
82    821
""    825
84    841
""    842   8421
""    """   8427
""    843
""    846   8461
""    """   8463  84631
""    """   8469
91
93    931
""    932
""    934   9341

The five digits in order such that the sum of the 1st to the nth digits are divisible by the nth digit but not by any of the individual digits prior in the sequence is 84631

 Posted by Dej Mar on 2011-10-01 04:47:07

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