Question

$x$ and $y$ are two non-negative integral numbers such that $2x+y=10$. The sum of the maximum and minimum values of $(x+y)$ is

• A. $6$
• B. $9$
• C. $10$
• D. $15$

Answer 1

The correct option is D $15$

As given $x$ and $y$ are two non-negative integral numbers such that $2x+y=10$.

So, the possible values will be $(0,10),(1,8),(2,6),(3,4),(4,2),(5,0)$

The maximum value of $x+y=10$ and minimum value of $x+y=5$.

$\therefore$ sum of maximum and minimum value of $x+y$ is $15$.