Mr. X and Mr. Y live in the same avenue with only 9 houses between them. The number on their houses were both prime, and Mr. X found that he could express the number of his house as the sum of the squares of the digits of Mr. y's house number.
What were their house numbers ?

(In reply to One Combination that Works by Gordon Steel)

Nine houses in between implies a difference of ten. There aren't nine numbers between 0 and 9, there are eight. Likewise, there are nine numbers between 0 and 10.

I think the answer intended was either y = 83 and x = 73 or y = 23 and x = 13.

Posted by sassy on 2005-05-08 11:47:41