What numbers add and multiply to get 105.8?
There are infinitely many pairs of numbers that will add to
105.8 and infinitely many pairs of numbers that will multiply to
105.8 but there are no pair that will add AND multiply.
I do not think there are larger sets, but I could be wrong.
One example of a triplet adding and multiplying to the same
number is 1, 2 and 3. They add to 6 and multiply to 6.