document.write( "Question 624876: Four years ago a woman was three times as old as her sister. in five years time she will be 20 years older than her sister. what is the present age of the woman and her sister?
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Algebra.Com's Answer #393149 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let w = present age of the woman \n" ); document.write( "let s = present age of the sister \n" ); document.write( ": \n" ); document.write( "\"Four years ago a woman was three times as old as her sister.\" \n" ); document.write( "w - 4 = 3(s-4) \n" ); document.write( "w - 4 = 3s - 12 \n" ); document.write( "w = 3s - 12 + 4 \n" ); document.write( "w = 3s - 8 \n" ); document.write( ": \n" ); document.write( "\"in five years time she will be 20 years older than her sister.\" \n" ); document.write( "She will always be 20 yrs older than her sister, that is a dumb statement! \n" ); document.write( "Calculated to confuse you \n" ); document.write( "Just say w = s + 20 \n" ); document.write( ": \n" ); document.write( "In the 1st equation replace w with (s+20) \n" ); document.write( "s + 20 = 3s - 8 \n" ); document.write( "s = 3s - 8 - 20 \n" ); document.write( "28 = 3s - s \n" ); document.write( "28 = 2s \n" ); document.write( "s = 28/2 \n" ); document.write( "s = 14 yrs is the sisters age \n" ); document.write( "then \n" ); document.write( "14 + 20 = 34 yrs is the woman's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solutions in the statement: \n" ); document.write( "\"Four years ago a woman was three times as old as her sister.\" \n" ); document.write( "34 - 4 = 3(14-4); confirms our solution\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |