The sum of two numbers is 38. The larger number is 12 more than the smaller number. What are the numbers?

In order to solve this problem, you can use the equation x + x + 12 = 38. Then, solve for x. Using this equation, x = 13. The two numbers are 13 and 25. You can check the answer for this by making sure that the two numbers you found equal the total.

The original equation is x + y = 38. The constraint provided says that the larger number is 12 more than the smaller, which yields the equation x = y + 12. Substituting the constraint into the original equation we can solve for y. y = 13. Then x can be solved for by substituting the value of y obtained back into the constraint.

x = 25, y = 13