SOLUTION: The sum of two integers is 30. Two times the larger integer is 10 less than five times the smaller integer. Find the integers.

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Question 397341: The sum of two integers is 30. Two times the larger integer is 10 less than five times the smaller integer. Find the integers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

The sum of two integers is 30

Let x and (30-x) represent the smaller and larger number respectively

Question states***

 2(30-x) = 5x -10

solving for x

  60 - 2x = 5x-10

     70 = 7x

      x = 10, the smaller number.  The larger number is 20.   (30-10)



CHECKING our Answer***

 40  = 50 - 10