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 two numbers be x and y. Step 2: Formulate equations based on the given information. The sum of the two numbers is 95: x + y = 95 (1) One number is 6 more than the other. Let's assume x is the larger number: x = y + 6 (2) Step 3: Substitute equation (2) into equation (1). Substitute x = y + 6 into x + y = 95: (y + 6) + y = 95 2y + 6 = 95 Step 4: Solve for y. Subtract 6 from both sides: 2y = 95 - 6 2y = 89 Divide by 2: y = (89)/(2) y = 44.5 Step 5: Solve for x. Substitute the value of y back into equation (2): x = y + 6 x = 44.5 + 6 x = 50.5 Step 6: Identify the larger number. Comparing x = 50.5 and y = 44.5, the larger number is x. The larger number is 50.5. That's 2 down. 3 left today — send the next one.