Question

prove that the difference of given number s and the numbers obtained by revesing thier digits is divisible by 9 . 59​

Answer 1

Step-by-step explanation:

Solution:

(i) Given number = 59

Number obtained by reversing the digits = 95

Difference = 95 – 59 = 36 ÷ 9 = 4

Hence, the required number is 9.

(ii) Given number = xy = 10x + y

Number obtained by reversing the digits = 10y + x

Difference = (10x + y) – (10y + x)

= 10x + y – 10y – x

= 9x – 9y

= 9(x – y) ÷ 9

= x – y

Hence, the required number is 9.