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

A. 15, 20

B. 20, 25

C. 30, 25

D. 21, 26

Answer: Option B

Solution(By Examveda Team)

Let the integers be x and (x + 5)
Then,
$$\eqalign{ & \Leftrightarrow x\left( {x + 5} \right) = 500 \cr & \Leftrightarrow {x^2} + 5x - 500 = 0 \cr & \Leftrightarrow \left( {x + 25} \right)\left( {x - 20} \right) = 0 \cr & \Leftrightarrow x = 20 \cr} $$
So, the numbers are 20 and 25