The sum of two numbers is 55 and the difference is 1 . What are the numbers? Larger number:

To solve the problem, let's denote the two numbers as x and y. We know that x + y = 55 (the sum) and x - y = 1 (the difference). By solving these equations simultaneously, we can add the two equations: (x + y) + (x - y) = 55 + 1, which simplifies to 2x = 56. Dividing both sides by 2 gives us x = 28. Now, substituting x back into the sum equation, we have 28 + y = 55, leading to y = 27. Therefore, the larger number is 28! This shows how simple algebra can solve real-world problems, like splitting a bill or determining distances. Two numbers, although different mathematically, can be understood in various contexts—like finding partners in a game, balancing budgets, or even planning a party!