Answer:Here's how to solve this problem: 1. Understand the ratio:The ratio 3:5 means that the numbers can be represented as 3x and 5x, where x is a common factor. 2. Set up an equation:The sum of the two numbers is 32, so we have the equation: 3x + 5x = 32 3. Solve for x:Combine like terms: 8x = 32Divide both sides by 8: x = 4 4. Find the largest number:The larger number is represented by 5x.Substitute x = 4: 5 * 4 = 20 Therefore, the largest number is 20.