The ratio of two numbers is 1:5 and their product is 320. What is the difference between the squares of these two numbers?

- 1024
- 1256
- 1536
- 1640

**Answer**

Let the numbers be x and 5x.

So, 5x^{2} = 320

x^{2} = 64

x = 8

The numbers are 8 and 40.

Difference between the squares of two numbers = 40^{2} - 8^{2}

= 1600 - 64

= 1536

**The correct option is C.**