Question

the difference between a two digit number and the number obtained by interchanging the position of its digit is 36 what is the difference between two digit of that number​

Answer 1

4

Explanation:

Let 10x+y be the two digit number. y is the one's digit and x is the ten's digit.

Interchanging the digits gives the new number 10y+x.

We are given when we subtract these numbers we get 36.

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

Put like terms together

Remember the terms in the second are being subtracted from the terms in the first

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

9x-9y=36

Dividing both sides by 9 gives

x-y=4

The difference between the numbers is 4.