If the sum of two numbers is 22 and the sum o | vedclass

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(A) Let the two numbers be $x$ and $y$.Given that the sum of the numbers is $x + y = 22$.Given that the sum of their squares is $x^2 + y^2 = 404$.We k

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(A) Let the two numbers be $x$ and $y$.Given that the sum of the numbers is $x + y = 22$.Given that the sum of their squares is $x^2 + y^2 = 404$.We know the algebraic identity: $(x + y)^2 = x^2 + y^2 + 2xy$.Substitute the given values into the identity:$(22)^2 = 404 + 2xy$.$484 = 404 + 2xy$.$2xy = 484 - 404$.$2xy = 80$.$xy = \frac{80}{2} = 40$.Therefore,the product of the numbers is $40$.

If the sum of two numbers is $22$ and the sum of their squares is $404,$ then the product of the numbers is

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