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 Simple solution by Gamer)

89*a+89*b=89*12

a and b are relatively prime implies one = 5*89 and one = 7*89

true, but how about

 one = 1*89 and one =11*89  ?

 

there are two valid distinct pairs

Ady

Posted by Ady TZIDON on 2006-03-15 02:43:05