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The difference between two positive integers is $6$ and their product is $40$. What is the sum of the integers?

 Sep 1, 2023
 #1
avatar+36919 
+1

10 and 4 

 

x - y = 6     so    y = x-6

 

x ( x-6) = 40 

x^2 - 6x -40 = 0 

(x-10)(x + 4) =0       shows the positive answer for x = 10    then  the other is 10 - 6 = 4 

 Sep 1, 2023

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