The sum of two numbers is 80. If the larger number exceeds four times the smaller one by 5. Find the numbers.

Explanation

To solve the problem step by step, we will define the variables, set up the equations based on the information given, and then solve the equations to find the two numbers.

### Step 1: Define the Variables
Let:
- \( x \) = the larger number
- \( y \) = the smaller number

### Step 2: Set Up the Equations
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