Hi

twice the larger number exceeds three times the smaller by 12 

Let x and y represent the smaller and larger number respectivley

Question states***

 (1/2)(x+y) = (3/2)(y-x)  |x+y = 3y - 3x  and 4x = 2y and y = 2x

    2y = 3x + 12

    4x = 3x + 12    |Substituting 2x for y

     x = 12 and y = 24    (y = 2*12)

 

 CHECKING our Answer***

 1/2*36 = 3/2* 12 = 18 

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