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

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) (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 

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