The sum of two numbers is 19 and their difference is 9. What are the numbers?

Answer: The numbers are 14 and 5.Step-by-step explanation:Let the numbers are x and y .According to the given question , we have the following system of linear equation:[tex]x+y=19-----------------(1)\\\\ x-y=9------------(2)[/tex]Adding equation (1) and (2) , we get[tex]2x=28[/tex]Divide both sides by 2 , we get[tex]x=14[/tex]Subtract equation (2) from (1) , we get[tex]2y=10[/tex]Divide both sides by 2 , we get[tex]y=5[/tex]Therefore , the numbers are 14 and 5.