Question

7. If the difference of two digit number and the number obtained by reversing the digits
is 36, find the difference between the digits of the 2-digit number.​

Answer 1

Let : Required 2 digit number be (10x+y)

Given : diffence between 2 digit number and number obtained by reversing digit = 36

To find : x - y

Solution :

Required number = 10x + y

Number obtained by reversing digit = 10y + x

given

=> (10x+y) - (10y+x) = 36

=> 10x + y - 10y - x = 36

=> 9x - 9y = 36

=> 9(x-y) = 36

=> (x-y) = 36/9

=> (x-y) = 4

ANSWER : Difference between digits of 2digit number = (x-y) = 36