Hi,

The larger number is two more than three times the smaller number .

 x + (3x+2) =  24

   4x = 22

   x = 22/4 = 11/2, the smaller number.  The larger number is            

CHECKING our answer***

5 1⁄2  +  181⁄2  = 24

Wish You the Best in your Studies. 

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