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 two consecutive even numbers. Let the first even number be x. Since the numbers are consecutive even numbers, the next even number will be x+2. Step 2: Set up the equation based on the given sum. The sum of the two numbers is 270: x + (x+2) = 270 Step 3: Solve the equation for x. Combine like terms: 2x + 2 = 270 Subtract 2 from both sides: 2x = 270 - 2 2x = 268 Divide by 2: x = (268)/(2) x = 134 Step 4: Find the two numbers. The first even number is x = 134. The second consecutive even number is x+2 = 134+2 = 136. The two numbers are 134 and 136. Last free one today — make it count tomorrow, or type /upgrade for unlimited.