Question

The successor of a two digit number is always a two digit number,
A. True
B. False

Answer 1

Hint:The successor of a two digit can be found by adding one to that number. Find the successor of every two digit number and check whether it is a two digit number or not.

Complete step-by-step answer:
The successor of any number can be found by adding one to that number, because the successor of any number is defined as the number next to it.
Now, we will find the successor of every two digit number.

Number	Its Successor
10	10 +1 = 11
11	11 +1 = 12
12	12 +1 = 13
13	13 +1 = 14
14	14 +1 = 15
15	15 +1 = 16
16	16 +1 = 17
17	17 +1 = 18
18	18 +1 = 19
......	......
50	50 +1 = 51
51	51 +1 = 52
52	52 +1 = 53
53	53 +1 = 54
54	54 +1 = 55
......	......

53	53 +1 = 54
54	54 +1 = 55
......	......
97	97 +1 = 98
98	98 +1 = 99
99	99 +1 = 100

We can clearly see, the successor of every two digit number is not a two digit number because 99 is the greatest two digit number and its successor is (99 + 1 = 100) and 100 is not a two digit number. 100 is a three digit number.
Therefore, the given statement that the successor of a two digit number is always a two digit number is false.

Note: For checking the given statement in this question, students can easily do this by checking for the greatest two digit number i.e. 99 (ninety - nine). We find that (99 + 1) is 100. Hence, successor of 99 is 100, which is a three digit number.
Students can wisely check only for 99 and get the given statement is false.