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 three consecutive even numbers. Let the first even number be x. The second consecutive even number will be x+2. The third consecutive even number will be x+4. Step 2: Set up the equation based on the given sum. The sum of the three numbers is 36: x + (x+2) + (x+4) = 36 Step 3: Solve the equation for x. Combine like terms: 3x + 6 = 36 Subtract 6 from both sides: 3x = 36 - 6 3x = 30 Divide by 3: x = (30)/(3) x = 10 Step 4: Find the bigger number. The three consecutive even numbers are x, x+2, and x+4. Substituting x=10: First number: 10 Second number: 10+2 = 12 Third number: 10+4 = 14 The bigger number is 14. The bigger number is 14. What's next?