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

  1. 1024
  2. 1256
  3. 1536
  4. 1640

Answer

Let the numbers be x and 5x.

So, 5x2 = 320

x2 = 64

x = 8

The numbers are 8 and 40.

Difference between the squares of two numbers = 402 - 82

= 1600 - 64

= 1536 

The correct option is C.

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