Problem
Question 25 The sum of two numbers is 89 . The difference of the two numbers is 59 . What are the two numbers. Let $x$ be the larger number and $y$ be the smaller number. Write an equation that expresses the information in the sentence "The sum of two numbers is $89 . "$
Solution
Step 1 ：Let the larger number be represented by \(x\) and the smaller number be represented by \(y\).
Step 2 ：The problem states that the sum of the two numbers is 89, which can be written as the equation \(x + y = 89\).
Step 3 ：The problem also states that the difference of the two numbers is 59, which can be written as the equation \(x - y = 59\).
Step 4 ：By solving this system of equations, we find that \(x = 74\) and \(y = 15\).
Step 5 ：\(\boxed{x = 74, y = 15}\)
