Step-by-step explanation:

Given :-

The sum of two numbers = 10

Let the two no.s be x and y such

so x + y = 10

x = 10 - y

according to the conditions of the question, both and y should be positive to obtain the maximum product .

hence, the values of x and y whose product is maximum = x=y= 5

so the maximum product = 5×5 = 25