In Ruby, when you define a method, you don't need to write 'return' to send back a value. The method automatically returns the value of the last expression it runs. For example, if you add two numbers inside a method, the sum is returned without writing 'return'. This is called implicit return. The execution table shows each step: starting the method, evaluating the sum, recognizing the last expression, returning its value, assigning it to a variable, and printing it. Variables 'a' and 'b' hold the input values, and 'result' holds the returned sum. Remember, only the last expression's value is returned, even if there are multiple expressions in the method.