SOLUTION: Solve. Please show all of your work. If three times the smaller of two consecutive integers is added to four times the larger, the result is 137. Find both integers.

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Question 448568: Solve. Please show all of your work.
If three times the smaller of two consecutive integers is added to four times the larger, the result is 137. Find both integers.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x and (x+1)represent the two consecutive integers

Question states***

 3x + 4(x+1) = 137     

Solving for x

      7x = 133

       x = 19  Integers are 19 and 20 

CHECKING our Answer***

 3*19 + 4*20 = 57 + 80 = 137