Take a two digit number 'ab' where a > b. When the difference between this number and the number obtained by reversing its digits is divided by 9, quotient will be equal to
a−b
Given: 2-digit number ab and a > b.
Expanded form of this 2-digit number ab=10a+b
Number obtained by reversing the digits of ab=ba
Expanded form of the 2-digit number ba=10b+a
Difference between ab and ba is:=(10a+b)−(10b+a)=10a+b−10b−a=9a−9b=9(a−b)
Now, 9(a−b)9=(a−b)
Thus, the quotient will be (a - b).