Question #ad1dc

1 Answer
Oct 27, 2017

The answer is pairs of numbers of the type #3n+-3#.

Explanation:

#a+b=6n#
#a-b=6#

if we sum both equations we obtain:

#2a=6(n-1)->a=3(n-1)=3n-3#

Replacing a in one of the statements we obtain:

#b=6n-a=6n-(3n-3)=3n+3

So we can have pairs (a, b) equal to:

(-3,3); (0,6); (3;9) etc...