# SOLUTION: The sum of two numbers is 39. Their difference is 7. What are the two numbers? Show both equations and your method for solving as well as the solution.

Algebra ->  -> SOLUTION: The sum of two numbers is 39. Their difference is 7. What are the two numbers? Show both equations and your method for solving as well as the solution.       Log On

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

 Question 113302: The sum of two numbers is 39. Their difference is 7. What are the two numbers? Show both equations and your method for solving as well as the solution. Answer by ptaylor(2058)   (Show Source): You can put this solution on YOUR website!Let x=one number And y=the other Now we are told the following: x+y=39------------------eq1 x-y=7----------------------eq2 Add eq1 and eq2 2x=46 divide both sides by 2 x=23 one number substitute x=23 into eq1 23+y=39 subtract 23 from both sides 23-23+y=39-23 collect like terms y=16 the other number ANOTHER WAY: Let x=one number Then 39-x=the other number Now we are told that: (39-x)-x=7 39-2x=7 subtract 39 from both sides -2x=7-39 collect like terms -2x=-32 divide both sides by -2 x=16---one number 39-x=39-16=23----------the other number CK 16+23=39 39=39 and 23-16=7 7=7 Hope this helps----ptaylor