Whats the smallest number ("the magic number") that can satisfy these conditions?
 its positive
 it is not divisible by any number below 20 (excluding 1)
 the average of the digits is an even number between 3 and 9
Here is the problem as I see it.
When I read "the average of the digits is an even number between 3 and 9" my brain interpreted "even" as "whole number"
I assume this is because I know the average of a set of numbers is not usually a whole number.
In fact, had the orginal statement used "whole" rather than "even" the solution whould be 37  the conclusion I jumped to.
Although the wording as it stands is _not_ ambiguous, is can be wrongly interpreted.
A better wording may be
 the average of the digits is an even whole number between 3 and 9
For a really easy problem this one has sparked quite the discussion.
Jer

Posted by Jer
on 20040319 12:28:38 