The sum of two numbers is 97. The difference of the two numbers is 63. What are the two numbers?

Let $\displaystyle {x}$ be the larger number and $\displaystyle {y}$ be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 97." Preview Question 6 Part 1 of 4  


Write an equation that expresses the information in the sentence "The difference of the two numbers is 63." Preview Question 6 Part 2 of 4  


Solve the system you have written above.


The larger number, $\displaystyle {x}$ is . The smaller number, $\displaystyle {y}$ is .