document.write( "Question 95323: Lucia's aunt is now three times as old as Lucia. Fifteen years ago, her aunt was five times as old as Lucia. How old are Lucia and her aunt?
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Algebra.Com's Answer #69474 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Lucia's aunt is now three times as old as Lucia. Fifteen years ago, her aunt was five times as old as Lucia. How old are Lucia and her aunt? \n" ); document.write( ": \n" ); document.write( "Let x = Lucia's age now \n" ); document.write( "Then \n" ); document.write( "3x = Auntie's age now \n" ); document.write( ": \n" ); document.write( "15 years ago they would be: \n" ); document.write( "(x-15) = Lucia \n" ); document.write( "and \n" ); document.write( "(3x-15) = Auntie \n" ); document.write( ": \n" ); document.write( "It says,\"15 yrs ago aunt was five times as old as Lucia.\" \n" ); document.write( "(3x-15) = 5(x-15) \n" ); document.write( "3x - 15 = 5x - 75 \n" ); document.write( "3x - 5x = -75 + 15 \n" ); document.write( "-2x = -60 \n" ); document.write( "x = -60/-2 \n" ); document.write( "x = +30 yrs is Lucia's age now \n" ); document.write( "Then \n" ); document.write( "3(30) = 90 yrs is Auntie's age now. \n" ); document.write( ": \n" ); document.write( "Check solutions by looking at their ages 15 years ago \n" ); document.write( "Lucia = 15 years \n" ); document.write( "Auntie = 75 years which is 5 times 15 years\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |