SOLUTION: The sum of the two numbers is 66,and their difference is 26.What are the two numbers?

Algebra ->  Systems-of-equations -> SOLUTION: The sum of the two numbers is 66,and their difference is 26.What are the two numbers?       Log On


   

Question 1117879: The sum of the two numbers is 66,and their difference is 26.What are the two numbers?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solution  1.   Two equations setup 

x + y = 66
x - y = 26    (where x = the greater number)

------------------------------------------------Add the two equations to get the


Answer.  x = 46,  y = 20.


Solution  2.   One equation setup 

x + (x-26) = 66               (where x = the greater number)


2x - 26 = 66


2x = 66 + 26 = 92  ====>  x = 92%2F2 = 46,


and you get the same answer.