The sum of two positive numbers is 1068 and their Highest Common Factor is 89. How many pairs of such numbers are there?

(In reply to Solution: 5 pairs by Dej Mar)

There are two pairs of positive numbers whose sum is 1068 with a Highest Common Factor of 89.  This solution is in agreement with avijit's post.

89 + 979 = 1068   ...  [1*89 = 89, 11*89 = 979]
445 + 623 = 1068 ...  [5*89 = 445, 7*89 = 623]

Edited on March 19, 2006, 5:52 am

Posted by Dej Mar on 2006-03-14 19:31:27