# SOLUTION: Find 3 consecutive even numbers where the product of the smaller two numbers is 52 less than the square of the largest number.

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 Question 311476: Find 3 consecutive even numbers where the product of the smaller two numbers is 52 less than the square of the largest number.Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!let the consequtive even numbers be x,x+2 , x+4 Product of smaller two = x(x+2) . square of the largest = (x+4)^2 . x(x+2)=(x+4)^2 -52 x^2+2x= x^2+8x+16-52 6x=36 x= 6 The numbers are 6,8,10