Find the two-digit number whose digits multiply to 8, and when 18 is added to the number, the digits switch places.

Explanation

Let the two-digit number be 10x + y, where x and y are digits. Given that x * y = 8 and adding 18 reverses the digits: 10x + y + 18 = 10y + x. Solving these equations, the number is 18.