SOLUTION: One positive integer is 18 more than a second positive integer. If the sum of twice the greater and three times the smaller is 86, find the larger integer. Thanks for your help

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Question 388050: One positive integer is 18 more than a second positive integer. If the sum of twice the greater and three times the smaller is 86, find the larger integer.
Thanks for your help.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

One positive integer is 18 more than a second positive integer

Let x and (x +18) represent the smaller and larger integer respectively

Question states***

 2(x+18) + 3x = 86

Solving for x

 2x + 36 + 3x = 86

     5x = 50

      x = 10, the smaller integer, the larger is 28     (10+18)



CHECKING our  Answer***

 2*28 + 3*10 = 45 + 30 = 86