# What will be the product of two numbers? If

The sum of square of two numbers is 68 and the square of their difference is 36. The product of the two numbers is

- 58
- 104
- 32
- 16

**Answer: (4) 16
**

**Explanation:-**

Let the two numbers are X and Y

The sum of square of two numbers = 68

Then, X² + Y² = 68 ……………… (1)

The square of their difference = 36

Then, (X – Y)² = 36

X² + Y² – 2 X Y = 36

Put the value of X² + Y² = 68

68 – 2 X Y = 36

– 2 X Y = 36 – 68

– 2 X Y = – 32

X Y = 32/2

X Y = 16

Then, the product of their is 16.

Hence, the answer is (4) 16