If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is?
Let the numbers be x and y.
Then, (x + y) = 22 and $x^2 + y^2$ = 404
Now,
=> 2xy = $(x + y) ^2 $- $(x^2 + y^2)$
=> 2xy= $22^2$ - 404 = 484 - 404 = 80.
=> xy = 40
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