# What is The Product of the Numbers?

Sum of two numbers is 17, whereas sum of their squares is 145. What is the product of the numbers?

- 72
- 42
- 82
- 14

**Answer: (1) 72**

**Explanation:-
**Let the two number be X & Y

Sum of two numbers is 17,

Then, X + Y = 17 ………………. (1)

Sum of their squared = 145

Then, X^{2} + Y^{2} = 145 ………………………… (2)

From equation (1),

X + Y = 17

Square on both side,

(X + Y)^{2} = 17^{2}

X^{2} + Y^{2} + 2 XY = 289

145 + 2 XY = 289

2 XY = 289 – 145

2 XY = 144

XY = 144/2

XY = 72

Then, product of the number is 72.

Hence, the answer is (1) 72.