# SOLUTION: Find two positive numbers so that twice their sum equals their product and one number is 8 times the other number. Enter the smaller number first.

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 Click here to see ALL problems on Numbers Word Problems Question 217863: Find two positive numbers so that twice their sum equals their product and one number is 8 times the other number. Enter the smaller number first. Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!2(x+y)=xy x=8y 2(8y+y)=8y*y 2*9y=8y^2 8y^2-18y=0 2y(4y-9)=0 4y-9=0 4y=9 y=9/4 y=2.25 ans. x=8*2.25 x=18 ans. Proof: 2*(18+2.25)=18*2.25 2*20.25=40.5 40.5=40.5