Question

The sum of two numbers is $10$. Their product will be maximum when they are :

• A. $3,7$
• B. $4,6$
• C. $5,5$
• D. $noneofthese$

Answer 1

Answer: (C)

$5,5$

If we consider all the possibilities of the sum coming to be $10$
$(1,9),(2,8),(3,7),(4,6),(5,5),(6,4),(7,3),(8,2),(9,1)$
As we compare we can comply that the maximum product will be of the pair (5,5) i.e. $(5\times 5=25)$