The sum of two numbers is 25 and their difference is 11. What is the larger of the two numbers?
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. 