You can put this solution on YOUR website! There are an infinite number of solutions if there are no restrictions on the values of a, b, and c. So I will assume the problem requires the values to be positive integers. In that case....
Since a, b, and c have to be positive integers, there are only two possibilities:
(1) and ; or
(2) and
Looking for a solution for case (1)...
Clearly there are no positive integer values for b that produce positive integer values for c. So there are no solutions for this case.
Looking for a solution for case (2)...
There is exactly one positive integer value for b that produces a positive integer value for c: b=3 gives c=5.
So there is a unique solution to the problem in positive integers:
a=2;
b=3;
c=5
