the sum of two numbers is three. their sum is 13. find the numbers.

Answer 1

if the sum of two numbers = 3, but also =13, there is no real solution

x+y =3

x+y+13 is a contradiction. Graphically, they are two parallel lines which never intersect

but maybe you meant x+y = 3

and x+y+3 = 13

then it's still a contradiction with no real solution since x+y can't equal both 3 and 10 at the same time. There is no imaginary solution either. There is no complex solution.

But there is a "surreal" solution, actually 2 surreal solutions

x=infinity, y=negative infinity

x= negative infinity, y= infinity

infinity is not a real number, it's "just" the limit as a number gets increasingly large

but it is a "surreal number, which also includes infinitesimals as well in the set of surreal numbers

Mathematician Cantor gave us the mathematics of infinity. Cantor literally went insane and got committed for thinking too much about infinity. Plus he was looked at suspiciously by the Pope for suggesting anything other than the Deity could be infinite. So, don't think about this too much.