Question 1127189
The numbers are  x and 28-x.

Let  y = x*(28-x) = 28x - x^2

dy/dx = 28-2x —>  set to 0:  28-2x=0 —>  x=14 at the maximum <br> 

The numbers are  {{{highlight(14) }}} and {{{ highlight(14) }}}<br>

{{{14*14 = highlight( 196 ) }}}