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)\"\" \"About 
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\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( "\"3%2F5\"(r+8) = 15
\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( "
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