Hi

 sum of two numbers is 10

Let x and (10-x) represent the larger and smaller number respectively

Question States***Write as we Read

2x - (10-x) = 15

Solving for x

 2x - 10 + x = 15

     3x = 25

      x = 25/3  or 8 1/3, the larger.  The smaller 1 2/3 or 5/3   (10- 8 1/3)



CHECKING our Answer

 2*(25/3) - 5/3 = 50/3 - 5/3 = 45/3 = 15

   

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