The sum of the digits of a two digit numbers is 9. If 9 is subtracted from the number, the resultant number is equal to the number obtained by reversing the digits of the original number. Find the original number.

Explanation

Let the number be in the form of `10 x +y` , where x and y are the tens digit and the units digit respectively.
Applying the first condition given in the problem, we get `x +y =9 to (1)`
Applying the second condition givent the problem, we get
`10 x +y -9 = 10 y +x`
`rArr x-y =1 to (2)`
Solving equations (1) and (2)
We get `x = 5 and y =4`
`therefore ` The number is 54.