Question -
Answer -
Let one number be┬аx. Then, theother number is (16 тИТ┬аx).
Let the sum of the cubes of these numbers bedenoted by S(x). Then,
Now,┬а
тИ┤ By second derivative test,┬аx┬а= 8 is thepoint of local minima of┬аS.
Hence, the sum of the cubes of the numbers is the minimumwhen the numbers are 8 and 16 тИТ 8 = 8.