The sum of two numbers is 47 . One number is 4 tess than twice of the ot Write and solve a system equation to answer the following questions. The bigger number is and the smaller number is

Step 1 ：Let's denote the two numbers as x and y.

Step 2 ：We can write the following two equations based on the problem: \(x + y = 47\) and \(x = 2y - 4\).

Step 3 ：We can solve this system of equations to find the values of x and y.

Step 4 ：The solution to the system of equations is \(x = 30\) and \(y = 17\).

Step 5 ：This means that the bigger number is 30 and the smaller number is 17.

Step 6 ：Final Answer: The bigger number is \(\boxed{30}\) and the smaller number is \(\boxed{17}\).