Math question

[Guest]

The number n is a 2 digit number. When n is divided by 10, the remainder is 9, and when n is divided by 9, the remainder is 8. What is the value of n?

[soeyinsiulam]

Here's what I think:
That When n is divided by 10, the remainder is 9 implies its single unit is 9; Suppose n is 'X9', then n-8='X1' and 'X1' can be devided by 9. So 'X1' can only be 81. So n is 89.