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**