The difference between two integers is 5. Their product is 500. Find the numbers.

Answer: Option B

Let the integers be x and (x + 5)
Then,
$$\begin{array}{rl}& \iff x\left(x+5\right)=500\\ & \iff x^2+5x-500=0\\ & \iff \left(x+25\right)\left(x-20\right)=0\\ & \iff x=20\end{array}$$
So, the numbers are 20 and 25