Hi, 

The smaller of two numbers is 9 less than the larger

Let (n-9) and n represent these numbers:

Question states***

(n-9)+ n = 38

Solving for x

   2n = 47

    n = 23.5, the Larger, 14.5 the smaller

CHECKING our Answer***

     14.5 + 23.5 = 38 

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