On my way to Philadelphia I pass five mileposts that indicate the distance I still have to travel to Philadelphia. The mileposts are at fixed intervals. Each milepost has a two-digit number, and together the five mileposts use all the digits from 0 to 9 exactly once.

(i) What is the smallest distance that the closest milepost can be from Philadelphia?

(ii) What is the maximum distance that the closest milepost can be from Philadelphia?

***Mileposts don't begin with 0, that is, no milepost can contain a leading zero.

Min :    10, 32, 54, 76, 98<o:p></o:p>

max:     18,  36,  54,  72,  90<o:p></o:p>

 

Posted by Ady TZIDON on 2013-05-31 11:56:33