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