A two digit number is such that the product of its digits is 8. When 63 is subtracted from the number digits interchange their places. Find the number.

Explanation

To solve the problem step by step, let's define the two-digit number and set up the equations based on the information given.

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

### Step 2: Set up the equations
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