The correct option is
D (a) and (b) above.
Let's try and understand this with the help of an example.
Suppose we have to find the successor of the number
45.
When we do
45+1=46, it gives us the successor.
On drawing a number line, we see that
46 is the number immediate next of
45, which makes it a successor of
45.
So we can find the successor of a number in both these ways.
But
45+10=55, which is not a successor of
45 so that option is incorrect.