Let $a, b, c$ ... be rational numbers greater than 1.

Can we find such a set that added together equals 13 and multiplied together equals 117?

(Example: If we wanted a set that added to 9 and multiplied to 25, we could pick 2, 2, 2.5 and 2.5)

Yes
Cannot be determined
No

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The set (2.4, 2.5, 2.5, 2.6, 3) meets the requirements.