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.
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-> 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.
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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(52781) (Show Source):
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.
