Question

If $x$ and $y$ are distinct integers, then which of the following is true about $\frac{x+y}{2}$ ?

• A. It is less than $x$ and greater than $y$
• B. It is greater than both $x$ and $y$
• C. It is less than both $x$ and $y$
• D. It lies between $x$ and $y$

Answer 1

The correct option is D

It lies between $x$ and $y$

$\frac{x+y}{2}$ shows the average of two numbers $x$ and $y$. We know that average of any two numbers lies between the given numbers. So, the value of $\frac{x+y}{2}$ lies between $x$ and $y$.