A two digit number is such that the product of its digits is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Define the digits
Let the two-digit number be represented as \( 10x + y \), where \( x \) is the digit in the tens place and \( y \) is the digit in the units place.

### Step 2: Set up the equations
We know two things from the problem:
1. The product of the digits is 18:
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