# SOLUTION: Find three consecutive integers such that five times the first integer plus twice the second is equal to six times the third.

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 Click here to see ALL problems on Linear-equations Question 451749: Find three consecutive integers such that five times the first integer plus twice the second is equal to six times the third. Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi, Let x,(x+1),(x+2) represent the three consecutive integers Question states*** 5x+2(x+1) =6(x+2) 5x + 2x + 2 = 6x + 12 7x + 2 = 6x + 12 |subtracting 6x and 2 from both sides of the Equation x = 10 the three consecutive integers are 10,11,12 CHECKING our Answer*** 50 + 2*11 = 50 + 22 = 72 = 6*12 ```