document.write( "Question 490361: At a family reunion 3 cousins were comparing there ages. Jennifer is 17 years younger than Rene and Rene is 10 years older then Melissa. Their ages total 60 years. How old is Rene?\r
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Algebra.Com's Answer #334043 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let J = Jennifer's age, R = Rene's age, and M = Melissa's age. \n" ); document.write( "J = R-17 \"Jennifer is 17 years younger than Rene.\" \n" ); document.write( "R = M+10 \"Rene is 10 years older than Melissa.\" \n" ); document.write( "J+R+M = 60 \"Their ages total 60 years.\" \n" ); document.write( "Find Rene's age. \n" ); document.write( "Start with: \n" ); document.write( "J+R+M = 60 Now substitute J = R-17 from the first equation. \n" ); document.write( "(R-17)+R+M = 60 Now substitute M = R-10 from the second equation. \n" ); document.write( "R-17+R+R-10 = 60 Combine like-terms. \n" ); document.write( "3R-27 = 60 Add 27 to both sides. \n" ); document.write( "3R = 87 Divide both sides by 3. \n" ); document.write( "R = 29 \n" ); document.write( "Rene is 29 years old. \n" ); document.write( " |