Let the number on mile stone 1 be XY, so on next milestone number will be YX. Now if we see the numbers again then it is possible only when mile stone 3 contains a 3 digit number. Also, from above points it is clear that YX is greater than XY and X!=0 and Y!=0 and Y>X, and the next number is the number starting from 1.
So, now the possible 3 digit values are 1XY or 1YX or 1AX or 1AY or 1YA or 1XA where A is another variable of single digit. In first 2 cases(1XY,1YX) we will get Y-X is a fraction so it's not valid assumption. Now, in other cases as 1AX or 1XA, on solving X is coming negative so it is again a false assumption. In case of 1YA we get an equation in which minimum possible value of Y comes to be as 12, which is again not accepted. Finally in 1AY on solving equation comes which satisfies for A=0 and Y=6. Thus our answer comes as X=1,Y=6,A=0. So ans is 16,61,106. This is just for explaining the logic behind this problem. For fast calculation use hit and trial (1Y,Y1,10Y). -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
