# SOLUTION: The sum of two numbers is 43. The difference of the same two numbers is 12. What are the two numbers?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: The sum of two numbers is 43. The difference of the same two numbers is 12. What are the two numbers?      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Miscellaneous Word Problems Question 251790: The sum of two numbers is 43. The difference of the same two numbers is 12. What are the two numbers?Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!Let x + y = 43. So, x = 43-y and y = 43-x . x - y = 12 So, (43-y) -y = 12 43 -2y = 12 -2y = -31 y = -31/-2 = 15.5 . x + y = 43 x + 15.5 = 43 x = 43 - 15.5 = 27.5 . Is the sum 43? x = 27.5 y = 15.5 x + y = 43 Yes! . Is the difference 12? x = 27.5 y = 15.5 x - y = 12 Yes! . So the answer is: The two numbers are 15.5 and 27.5. . Done.