SOLUTION: The sum of two numbers is 39 and their difference is 7. What are the numbers?

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 Question 114504: The sum of two numbers is 39 and their difference is 7. What are the numbers?Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website! THERE ARE TWO WAYS (MAYBE MORE) TO WORK THIS: LETS DO THE EASY WAY FIRST, THEN I WILL SET UP THE HARD WAY AND YOU CAN FINISH IT. Let x=one number Then 39-x=the other number Now we are told that: (39-x)-x=7 get rid of parens (distributive law) 39-x-x=7 subtract 39 from both sides 39-39-x-x=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 their difference IS 7 and their sum IS 39 THE HARD WAY: Let x=one number And y=the other number x+y=39----------------------------eq1 x-y=7--------------------------eq2 substitute x=39-y from eq1 into eq2 and we get x-(39-x)=7 get rid of parens x-39+x=7 add 39 to both sides x-39+39+x=7+39 collect like terms 2x=46 Now you finish this one Hope this helps---ptaylor