The sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is -

The sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is - Correct Answer 40

ATQ, x + y = 22 ... (i) x2 + y2 = 404 ... (ii) Therefore, (x + y)2 = x2 + y2 + 2xy (22)2 = 404 + 2xy 484 = 404 + 2xy Or, 2xy = 80 Or, xy = 40
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