document.write( "Question 538031: Currently Karen is 4 times as old as Lucy. Six years from now, Karen will be 3 times as old as Lucy(i.e. Karen's age in six years will be 3 times Lucy's age is 6 years.) How old is Lucy now? \r
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document.write( "I have tried 3x+6=4(x+6) and tried to solve for x. my answer ended up being 18. \n" );
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Algebra.Com's Answer #353126 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Currently Karen is 4 times as old as Lucy. Six years from now, Karen will be 3 times as old as Lucy. \n" ); document.write( " How old is Lucy now? \n" ); document.write( ": \n" ); document.write( "Let's do it this way \n" ); document.write( ": \n" ); document.write( "Let L = Lucy's age now \n" ); document.write( "Let K = Karen's age now \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( "\"Karen is 4 times as old as Lucy.\" \n" ); document.write( "K = 4L \n" ); document.write( ": \n" ); document.write( "\"Six years from now, Karen will be 3 times as old as Lucy\" \n" ); document.write( "K + 6 = 3(L + 6) \n" ); document.write( "K + 6 = 3L + 18 \n" ); document.write( "K = 3L + 18 - 6 \n" ); document.write( "K = 3L + 12 \n" ); document.write( "Replace K with 4L (from the 1st statement) \n" ); document.write( "4L = 3L + 12 \n" ); document.write( "4L - 3L = 12 \n" ); document.write( "L = 12 yrs is Lucy's age now \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solution in the given statement: (Karen = 4(12) = 48) \n" ); document.write( "\"Six years from now, Karen will be 3 times as old as Lucy\" \n" ); document.write( "48 + 6 = 3(12+6) \n" ); document.write( "54 = 3(18) \n" ); document.write( " |