A two-digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number.

Explanation

To solve the problem, we need to set up equations based on the information given in the question. Let's break it down step by step.

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

### Step 2: Set Up the First Equation
According to the problem, the two-digit number can be expressed as:
1. **First Condition**: The number is obtained by multiplying the sum of the digits by 8 and then subtracting 5.
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