Question

The difference between a 2 digit numbers and the number getting by place changing the 2 digits is 54. what is the difference between the 2 digits of that particular number?

Answer 1

Let the tens place digit be x and the units place digit be y

so by the condition given in your question we get equation

10x + y - ( 10y + x ) = 54

10x + y - 10y - x = 54

9x - 9y = 54

dividing by 9 we get

x - y = 6

so the difference between the digits of that number is 6