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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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(24785) About Me  (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