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
Find the quotient when the difference of 985 and 958 is divided by 9.
Which of the following statement is true?
The sum of two consecutive odd numbers is always divisible by 4.
If A3 + 8B = 150, then the value of A + B is ______.
If 6A × B = A 8 B, then the value of A – B is ______.
20 × 3 is a multiple of 3 if the digit × is ______ or ______ or ______.
If the digit 1 is placed after a 2-digit number whose tens is t and ones digit is u, the new number is ______.
A four-digit number abcd is divisible by 4 if ab is divisible by 4.
If AB + 7C = 102, where B ≠ 0, C ≠ 0, then A + B + C = 14.
If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4.
756x is a multiple of 11, find the value of x.
