Question

Question 7>The sum of two numbers is 98. The difference of the two numbers is 46. What are the two numbers,neLet z 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 98."Write an equation that expresses the information in the sentence "The difference of the twonumbers is 46."Solve the system you have written above.O

Answer 1

`\begin{gathered} z+y=98\text{ (1)} \\ z-y=46\text{ (2)} \\ (1)+(2) \\ z+z+y-y=98+46 \\ 2z=144 \\ z=(144)/(2) \\ z=72 \\ y=98-z=26 \end{gathered}`