Question

The difference between a 2 digit number and the number obtained by interchanging the positions of its digits is 72.Find the difference between the two digits of that number.​

Answer 1

Answer:

The difference between a 2 digit number and the number obtained by interchanging the positions of its digits is 72.Find the difference between the two digits of that number.

Answer 2

Answer:

Required difference between two digits of the number is 8.

Step-by-step explanation:

Let the numbers be x and y

the number at ones place is y

and number on tens place is $10x$

so the digit will be $10x+y$

The interchange of digit is $=10y+x$

It is given the difference between the digit and interchange is 72 so,

$9x−9y=72$

$9(x - y) = 72$

$x - y = \frac{72}{9} = 8$

The difference between the digits is 8.