document.write( "Question 1004999: Ken is 6 years older then Sue, who is 6 years older then Betty, who is 6 years older than Jason. If Jason's age is half of Ken's age, how old is Jason \n" ); document.write( "
Algebra.Com's Answer #621340 by AnlytcPhil(1806)\"\" \"About 
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>>Ken is 6 years older then Sue, who is 6 years older then Betty,
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document.write( "A little thinking about the statement above will tell you that \r\n" );
document.write( "Ken is 18 years older than Jason.\r\n" );
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document.write( "So \"K+=+J+%2B+18\"\r\n" );
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\n" ); document.write( ">>Jason's age is half of Ken's age,<<
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document.write( "\"J+=+expr%281%2F2%29K\"\r\n" );
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document.write( "So we have the system of equations:\r\n" );
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document.write( "\"system%28K=J%2B18%2CJ=expr%281%2F2%29K%29\"\r\n" );
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document.write( "Since the question is\r\n" );
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\n" ); document.write( ">>how old is Jason?<<
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document.write( "We substitute J+18 for K in \"J=expr%281%2F2%29K\"\r\n" );
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document.write( "\"J=expr%281%2F2%29K\"\r\n" );
document.write( "\"J=expr%281%2F2%29%28J%2B18%29%29\"\r\n" );
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document.write( "Multiply both sides by 2 to clear the fraction:\r\n" );
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document.write( "\"2J=J%2B18\"\r\n" );
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document.write( "Subtract J from both sides:\r\n" );
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document.write( "\"J=18\", so Jason is 18.\r\n" );
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document.write( "Checking the words:\r\n" );
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\n" ); document.write( ">>Ken is 6 years older then Sue, who is 6 years older then Betty,
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document.write( "Betty is 6 years older than Jason, so Betty is 24.\r\n" );
document.write( "Sue is 6 years older than Betty, so Sue is 30.\r\n" );
document.write( "Ken is 6 years older than Sue, so Ken is 36.\r\n" );
document.write( "And indeed, Jason's age, which is 18 is half of Ken's age, \r\n" );
document.write( "which is 36.\r\n" );
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document.write( "Edwin
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