In the following equation, each of the x’s as well as each of W, A and Y represents a decimal digit from 0 to 9 whether same or different. None of the numbers can contain any leading zero.

(WAY)*(WAY) = (xxxxxxWAY)/1983

What are the respective minimum value and the maximum value of WAY?

Minimum value of WAY = 272
Maximum value of WAY = 647

If W, A and Y needed to be different decimal digits, and x, any digit but different from W, A or Y, then the only solution would have: (647)*(647) = (830101647)/1983
W = 6, A = 4, Y = 7, x =  {0, 1, 3, 8}, i.e., xxxxxx = 830101
            

Posted by Dej Mar on 2009-04-08 18:29:16