Advertisements
Advertisements
Question
The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ______.
Advertisements
Solution
The difference of a two-digit number and the number obtained by reversing its digits is always divisible by 9.
Explanation:
Let ab be any two-digit number, then we have
ab – ba = (10a + b) – (10b + a)
= 9a – 9b
= 9(a – b)
Hence, ab – ba is always divisible by 9 and (a – b).
APPEARS IN
RELATED QUESTIONS
Given an example of a number which is divisible by 2 but not by 4.
Given an example of a number which is divisible by both 4 and 8 but not by 32.
Which of the following statement is true?
If a number is divisible by 4, it must be divisible by 8.
Which of the following statement is true?
If a number is divisible by both 9 and 10, it must be divisible by 90.
Fill in the blank space in the same way.
Now you try and change these numbers into special numbers —
28
If 5A × A = 399, then the value of A is ______.
Find the value of k where 31k2 is divisible by 6.
If 148101B095 is divisible by 33, find the value of B.
Fill in the blank space in the same way.
