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
Morning Anita — let's get this done. Step 1: Define the variables and set up the equations. Let the two numbers be x and y. From the problem statement, the sum of the two numbers is 234560: x + y = 234560 (1) One number is 10010 greater than the other. Let x be the greater number: x = y + 10010 Rearrange this equation to make it easier to solve with the first equation: x - y = 10010 (2) Step 2: Solve the system of equations. Add equation (1) and equation (2): (x + y) + (x - y) = 234560 + 10010 2x = 244570 Step 3: Find the value of x. Divide by 2 to find x: x = (244570)/(2) x = 122285 Step 4: Find the value of y. Substitute the value of x into equation (1): 122285 + y = 234560 y = 234560 - 122285 y = 112275 Step 5: Identify the greater number and select the correct option. The two numbers are 122285 and 112275. The greater number is 122285. Comparing this with the given options: (A) 112275 (B) 122285 (C) 132285 (D) 117280 The correct option is (B). The greater number is B) 122285. Send me the next one 📸