Answer:
26 and 26
Explanation:
Let's call the two numbers x and 52-x.
Their product is
. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point
The two numbers are, then 26 and 52-26=26.