This is from my number theory class, so I'm assuming there is some sort of number theory solution here?
Thanks.
Hello, davismj!
No, only algebra is needed . . .
5) are positive numbers such that:
. .
Find the numbers.
Solve [2] for
Solve [3] for
Equate [4] and [5]: .
Substitute into [1]: .
Hence:. .
Substitute into [6]: .
Substitute into [5]: .
There are two solutions: .