Advertisements
Advertisements
प्रश्न
The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ______.
Advertisements
उत्तर
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
संबंधित प्रश्न
Which of the following statement is true?
If a number divides three numbers exactly, it must divide their sum exactly.
Which of the following statement is true?
If two numbers are co-prime, at least one of them must be a prime number.
Use the same rule to fill the hexagons below.
Now you also make your own magic hexagons.
Are they equal?
Now you try and change these numbers into special numbers —
28
If A3 + 8B = 150, then the value of A + B is ______.
If 6A × B = A 8 B, then the value of A – B is ______.
The difference of three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ______.
If A × 3 = 1A, then A = ______.
If the digit 1 is placed after a 2-digit number whose tens is t and ones digit is u, the new number is ______.
