Answer :
x + y = 19
Additionally, we know that the sum of the squares of the two numbers is 193. This can be expressed as:
x^2 + y^2 = 193
To solve these two equations simultaneously, we can use substitution or elimination method.
One possible approach is to square the first equation and subtract it from the second equation, which eliminates the y variable:
(x^2 + 2xy + y^2) - (x + y)^2 = 193 - 19^2
x^2 + y^2 + 2xy - (x^2 + 2xy + y^2) = 193 - 361
-2xy = -168
Dividing both sides by -2 gives us:
xy = 84
Now we have a system of equations:
x + y = 19
xy = 84
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