​The difference between two numbers which are in the ratio 5 : 3 is 50. What is the product of the numbers?​

Correct option is A

Given:

​The difference between two numbers which are in the ratio 5 : 3 is 50.

Solution:

Let the two numbers be 5x and 3x (since their ratio is 5:3)

The difference between the numbers is 50, so we can write

5x - 3x = 50

2x = 50

x = 25

First number: 5x = 5 $$\times$$​ 25 = 125

Second number: 3x = 3 $$\times$$​25 = 75

Product = 125 $$\times$$​75 = 9375

Therefore, the product of the numbers is 9375.