Let the two numbers be  and 

According to the question, 

   …….(i)

And let  is the product of  and 

  [From eq. (i)]

  and 

Now to find turning point, 

At ,  [Negative]

   is a point of local maxima and  is maximum at .

  From eq. (i),  

Therefore, the two required numbers are 12 and 12.