SOLUTION: Set up a system of linear equations and solve for the indicated quantities The sum of two positive numbers is 26. Their difference is 14. Find the numbers.

Question 1108898: Set up a system of linear equations and solve for the indicated quantities
The sum of two positive numbers is 26. Their difference is 14. Find the numbers.
Answer by ikleyn(52782) (Show Source): You can put this solution on YOUR website!
.

x + y = 26,
x - y = 14


Add the equations. You will get

2x = 26 + 14 = 40  ====>  x =  = 20.


Then from the first equation

20 + y = 26  ====>  y = 26 - 20 = 6.


Answer.  The numbers are  20  and  6.

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