SOLUTION: Use two equations in two variables to solve the application. The sum of two integers is 45, and their difference is 13. Find the integers (smaller and larger).

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Use two equations in two variables to solve the application. The sum of two integers is 45, and their difference is 13. Find the integers (smaller and larger).      Log On


   

Question 1130796: Use two equations in two variables to solve the application.
The sum of two integers is 45, and their difference is 13. Find the integers (smaller and larger).
Answer by addingup(3677) About Me  (Show Source):
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(1) x + y = 45
(2) x - y = 13 therefore x = y + 13 Substitute for x on (1)
y + 13 + y = 45
2y = 32
y = 16
and x - y = 13; x - 16 = 13; x = 29
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Check:
x + y = 45
29 + 16 = 45 Correct