Hi,

Let x, y and z  represent Elmira's, Geoff's and Rae's ages respectively

 x + y + z = 82  

 Elmira doubles her own age, it will equal Doug's age.

Elmira adds six to Geoffs age, it will equal Doug's age.

 2x = y + 6   0r  x = y/2 + 3

subtracts 8 from Rae's age, it will equal Doug's age.

y + 6 = z - 8

   z = y+14

(y/2 + 3) + y + ( y+14) = 82

     

            y =  = 26, Geoff'a age.   Doug is 32

CHECKING our answer***

 16 + 26 + 40 = 82

Wish You the Best in your Studies.







 

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