# Find Difference between the Squares of Numbers? If

If the product of two numbers is 320 and thir ratio is 1:5 what the difference between the squares of these two numbers?

- 1430
- 1536
- 1616
- None of these

**Answer: (2) 1536**

**Explanation:-**

**Given-**

The ratio of two numbers = 1 : 5

Let two numbers be X & 5 X

The product of two numbers = 320

Then, 5 X x X = 320

X x X = 320/5

X x X = 64

Square root on both side,

X = 8

Then, the two numbers X = 8 = 40 &5 X = 8 x 5 = 40

Square of 8 = 8 x 8 = 64

Square of 40 = 40 x 40 = 1600

The difference between the square of these numbers = 1600 – 64

= 1536

Hence, the answer is (2) 1536.