### Instruction: The sum of two numbers is 25 and their difference is 11. What is the larger of the two numbers?### Response: I need to find two numbers that add up to 25 and have a difference of 11.
I can use a system of equations to represent this situation.
Let x be the larger number and y be the smaller number.
Then I have x + y = 25 and x - y = 11.
I can add these two equations to eliminate y and solve for x.
Adding the equations gives me 2x = 36, so x = 18.
Therefore, the larger number is 18.