In what positive integral number base is 231 double 113

Base 5

Step-by-step explanation:

We want to determine the base at which:

113 X 2 = 231

We consider the last number of the result (231).

The base must be a number such that:

3 X 2 will have a remainder of 1.

3 X 2 = 6 = 5 Remainder 1

Therefore:

113 X 2 = 231 in positive integral number base 5.