This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Define the variables. Let the first even number be x. Since the numbers are consecutive even numbers, the next even number will be x + 2. The third consecutive even number will be x + 4. Step 2: Set up the equation. The sum of these three numbers is 72. x + (x + 2) + (x + 4) = 72 Step 3: Solve the equation for x. Combine like terms: 3x + 6 = 72 Subtract 6 from both sides: 3x = 72 - 6 3x = 66 Divide by 3: x = 66 / 3 x = 22 Step 4: Find the three consecutive even numbers. First number: x = 22 Second number: x + 2 = 22 + 2 = 24 Third number: x + 4 = 22 + 4 = 26 The three consecutive even numbers are 22, 24, and 26. That's 2 down. 3 left today — send the next one.