Question 840964: The sum of the ages of Elmira, Geoff, and Rae is 82. Elmira adds six to Geoffs age, subtracts 8 from Rae's age, or doubles her own age, it will equal Doug's age. How old is Doug?
Answer by ewatrrr(24785)   (Show Source):
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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
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