Problem
The sum of two numbers is 89 . The difference of the two numbers is 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 $89 . "$ Write an equation that expresses the information in the sentence "The difference of the two numbers is 59." Solve the system you have written above. The larger number, $\boldsymbol{x}$ is The smaller number, $\boldsymbol{y}$ is Question Help: Submit Question
Solution
Step 1 ：Let the larger number be represented by x and the smaller number by y.
Step 2 ：The sum of the two numbers is 89, which can be represented by the equation x + y = 89.
Step 3 ：The difference of the two numbers is 59, which can be represented by the equation x - y = 59.
Step 4 ：Solving this system of equations gives the solution {x: 74, y: 15}.
Step 5 ：Therefore, the larger number, \(x\) is \(\boxed{74}\). The smaller number, \(y\) is \(\boxed{15}\).
