Question

sum of two numbers is 36 find product maxima

Answer 1

18x18= 324 this is maximum product of two numbers whose sum Is 36

Answer 2

let first no. be x 
  & second no. be 36-x
now, 
          product of two no.s:
                              =x(36-x)
                              =36x-x^2
then, by hit and trial method- 
we get, the no.s are 18
  and product of there maxima is 324