The sum of the digits of a two-digit number is 9. If 27 is subtracted from the number, the digits get reversed. Find the number.

Explanation

Let assume that `x` and `y` are the two digits of the two-digit number
Therefore, the two-digit number`=10x+y` and Reversed number`=10y+x`
Given:
`x+y=9`. .........(1)
According to the question:
`10x+y-27=10y+x`
`9x-9y=27`
`x-y=3`. ........(2)
Now, Add equation (1) and(2)
`2x=12`
`x=6`
`y=6-3=3`
`therefore` The two-digit number`=10x+y=10times6+3=63`.