document.write( "Question 211184: Aris is three years older than Rosie. In seven years, Aries will be twice as old as Rosie was five years ago. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #159604 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let A = Aris' age now and R = Rosie's age now. \n" ); document.write( "1) A = R+3 \"Aris is three years older than Rosie.\" \n" ); document.write( "2) A+7 = 2(R-5) \"In seven years, Aris will be twice as old as Rosie was five years ago.\" \n" ); document.write( "Substitute A = R+3 into equation 2) and solve for R. \n" ); document.write( "(R+3)+7 = 2(R-5) Simplify. \n" ); document.write( "R+10 = 2R-10 Subtract R from both sides. \n" ); document.write( "10 = R-10 Add 10 to both sides. \n" ); document.write( "20 = R \n" ); document.write( "Rosie is 20 years old. \n" ); document.write( "A = R+3 \n" ); document.write( "A = 23 \n" ); document.write( "Aris is 23 years old. \n" ); document.write( " |