If a two digit number product of the digits is 18 . If 27 is subtracted from the number. The digits will be interchanged. What is the number?

We can solve this problem using algebra. Let the tens digit be x and the units digit be y. Then, we have: 10x + y = xy + 18 (since the product of the digits is 18) 10x + y - 27 = 10y + x (since 27 is subtracted from the number and the digits are interchanged) Simplifying the second equation, we get: 9x - 9y = 27 x - y = 3 Solving for x and y, we get: y = x - 3 9x - 9(x - 3) = 27 x = 6 Therefore, y = 3, and the number is 63.