# SOLUTION: two positive integers have a sum of 20 and a product of 91. what is the smaller number?

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 Question 33266: two positive integers have a sum of 20 and a product of 91. what is the smaller number?Answer by sarah_adam(201)   (Show Source): You can put this solution on YOUR website!Let the two positive integers be x and y given: x+y = 20 which implies y = 20 - x x*y = 91 x(20-x)=91 20x - = 91 -20x +91 = 0 - 13x - 7x +91 = 0 x(x-3)-7(x-13) = 0 (x-7)(x-13)=0 (x-7) = 0 or (x-13) = 0 x = 7 or x = 13 y = 13 or y = 7 the smaller numbe is 7