# SOLUTION: Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third.

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 Question 426410: Find three consecutive numbers such that the sum of one-fourth the first and one-fifth the second is five less than one-seventh the third.Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!Let the numbers be x, x+1, x+2. x/4 + (x+1)/5 = (x+2)/7 - 5 35x+28(x+1)=20(x+2)-700 Multiply each side by 140 (LCM). 35x+28x+28=20x+40-700 43x=-688 x=-16, -15, -14 the three numbers. . Ed