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 find a two-digit number based on the conditions provided. Let's denote the two-digit number as \( 10x + y \), where \( x \) is the tens digit and \( y \) is the units digit.

### Step 1: Set up the equations based on the problem statement.

1. **First Condition**: The two-digit number is obtained by multiplying the sum of the digits by 8 and then subtracting 5.
\[ 10x + y = 8(x + y) - 5 \]
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