document.write( "Question 847771: seven years ago when anna was born, mandy was 2 times as old as rachel. when anna turns 15 she will be three fifths of rachel's age. what is the sum of their current ages \n" ); document.write( "
Algebra.Com's Answer #510696 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "let m = Mandy's present age \n" ); document.write( "let r = Rachel's present age \n" ); document.write( ": \n" ); document.write( "Seven years ago when Anna was born, Mandy was 2 times as old as Rachel. \n" ); document.write( "m - 7 = 2(r-7) \n" ); document.write( "m - 7 = 2r - 14 \n" ); document.write( "m = 2r - 14 + 7 \n" ); document.write( "m = 2r - 7 \n" ); document.write( "when Anna turns 15 she will be three fifths of Rachel's age. \n" ); document.write( " From the information given, we know that Anna will turn 15 in 8 yrs \n" ); document.write( " \n" ); document.write( "3(r+8) = 5(15) \n" ); document.write( "3r + 24 = 75 \n" ); document.write( "3r = 75 - 24 \n" ); document.write( "3r = 51 \n" ); document.write( "r = 51/3 \n" ); document.write( "r = 17 yrs is Rachel's age \n" ); document.write( "then \n" ); document.write( "m = 2(17) - 7 \n" ); document.write( "m = 34 - 7 \n" ); document.write( "m - 27 yrs is Mandy's age \n" ); document.write( ": \n" ); document.write( "What is the sum of their current ages? \n" ); document.write( "We know Anna is now 7 yrs old \n" ); document.write( "7 + 27 + 17 = 51 \n" ); document.write( " |