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If the sum of two numbers is 9 and the sum of their squares is 41, then their product is equal to:
1. 16
2. 38
3. 20
4. 21

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Correct Answer - Option 3 : 20

Given: 

The sum of two numbers is 9.

The sum of their squares is 41.

Calculation:

Let the two number be x, y.

Then, x + y = 9, 

Squaring both sides, we get 

⇒ x2 + y2 + 2xy = 81

Also given that, x+ y= 41

⇒ 2xy = 40 

⇒ xy = 20

 

∴ Their number product are 20.

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