# SOLUTION: Joe is 10 years older than James. In 8 years, twice Joe's age will equal three times James's age. How old is each now? {James is yrs., Joe is yrs.}

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 Question 78590: Joe is 10 years older than James. In 8 years, twice Joe's age will equal three times James's age. How old is each now? {James is yrs., Joe is yrs.} Found 2 solutions by ankor@dixie-net.com, attaboy15:Answer by ankor@dixie-net.com(15666)   (Show Source): You can put this solution on YOUR website!Write a simple equation for each statement: : "Joe is 10 years older than James." Jo = Ja + 10 : "In 8 years, twice Joe's age will equal three times James's age." 2(Jo + 8) = 3(Ja + 8) 2Jo + 16 = 3Ja + 24 2Jo = 3Ja + 24 - 16 2Jo = 3Ja + 8 : Substitute (Ja+10) for Jo in the above equation, find Ja: 2(Ja+10) = 3Ja + 8 2Ja + 20 = 3Ja + 8 20 - 8 = 3Ja - 2Ja Ja = 12 yrs, his age now : Jo is 10 years older; Jo = 22 yrs now : : Check solution in the statement: "In 8 years, twice Joe's age will equal three times James's age." 2(22 + 8) = 3(12 + 8) 2(30) = 3(20) : Make sense to you? Any questions? Answer by attaboy15(1)   (Show Source): You can put this solution on YOUR website!Joe is 10 years older than James. In 8 years twice Joe’s age will equal 3 times James age. What are their ages now? First, let’s determine their ages 8 years from now. Once that is determined, then we can just subtract 8 years from the answer to get their ages now. If Joe’s age is X then James age is X-10 Here is the first equation to use. 2 times X = 3 times ( X – 10 ) or 2X=3(X-10) this can become the following 2X=3X-30 add 30 to each side and get the following 2X+30=3X now subtract 2X from each side and get 30=3X-2X 3X – 2X = 1X or just X so….. 30=X So Joe’s age in 8 years is 30, James would be 20 (10 years younger) but their ages now would be Joe - 30-8=22 James – 20-8=12