The correct option is D Both the statements are false.
The predecessor of two digit can be a single digit number.
For example, if we consider the two digit number as 10, then its predecessor is 9 which is a single digit number.
Therefore, statement 1 is false.
The successor of a two digit number can be a three digit number. For example, if we consider 99 as the two digit number, then its successor is 100 which is a three digit number.
Therefore, statement 2 is also false.
As both the statements 1 and 2 are false, option d is correct.