document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #506541 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "Let x, y and z  represent Elmira's, Geoff's and Rae's ages respectively
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document.write( " x + y + z = 82  
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document.write( " Elmira doubles her own age, it will equal Doug's age.
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document.write( "Elmira adds six to Geoffs age, it will equal Doug's age.
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document.write( " 2x = y + 6   0r  x = y/2 + 3
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document.write( "subtracts 8 from Rae's age, it will equal Doug's age.
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document.write( "y + 6 = z - 8
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document.write( "   z = y+14
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document.write( "(y/2 + 3) + y + ( y+14) = 82
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document.write( "            y =  = 26, Geoff'a age.   Doug is 32
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document.write( "CHECKING our answer***
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document.write( " 16 + 26 + 40 = 82
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document.write( "Wish You the Best in your Studies.\r
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