# SOLUTION: the sum of 2 numbers is 12, and their product is 35. Find the numbers.

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 Click here to see ALL problems on Numbers Word Problems Question 604906: the sum of 2 numbers is 12, and their product is 35. Find the numbers.Answer by jim_thompson5910(28536)   (Show Source): You can put this solution on YOUR website!"the sum of 2 numbers is 12" ---> x+y = 12 ---> y = 12-x ---------------------------- "their product is 35" ----> xy = 35 xy = 35 x(12-x) = 35 -x^2 + 12x = 35 -x^2 + 12x - 35 = 0 x^2 - 12x + 35 = 0 (x - 7)(x - 5) = 0 x-7 = 0 or x-5 = 0 x = 7 or x = 5 So the two numbers are 5 and 7 -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------