# SOLUTION: The sum of two numbers is 40. Their difference is 8. Find the two numbers. How would I set this up to solve it?

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: The sum of two numbers is 40. Their difference is 8. Find the two numbers. How would I set this up to solve it?      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Systems of equations that are not linear Solvers Lessons Answers archive Quiz In Depth

 Question 61383: The sum of two numbers is 40. Their difference is 8. Find the two numbers. How would I set this up to solve it?Answer by stanbon(57387)   (Show Source): You can put this solution on YOUR website!The sum of two numbers is 40. Their difference is 8. Find the two numbers. How would I set this up to solve it? ------------ Let the numbers be "x" and "y". EQUATION: x+y=40 x-y=8 Add the two equations to get: 2x=48 x=24 Substitute to solve for y as follows: 24+y=40 y=16 Check in other equation, as follows: 24-18=8 8=8 Cheers, Stan H.