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.