document.write( "Question 1028686: a man, when asked the ages of his two sons, replied that 18 more than the sum of their ages is double the age of the older. Six less than the difference of their ages is the age of the youngest. what are their ages \n" ); document.write( "

Algebra.Com's Answer #643760 by Edwin McCravy(20060) $\"\"$ $\"About$

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Let x = the age of the older son.
\n" ); document.write( "Let y = the age of the younger son.
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\n" ); document.write( "a man, when asked the ages of his two sons, replied that
\n" ); document.write( "18 more than the sum of their ages
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document.write( "which is:\r\n" );
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document.write( "(x+y)+18\r\n" );
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\n" ); document.write( "is double the age of the older
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document.write( "which is\r\n" );
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document.write( "2x\r\n" );
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document.write( "So \r\n" );
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document.write( "(x+y)+18 = 2x\r\n" );
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\n" ); document.write( "Six less than the difference of their ages
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document.write( "which is\r\n" );
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document.write( "(x-y)-6\r\n" );
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\n" ); document.write( "is the age of the youngest.
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document.write( "which is\r\n" );
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document.write( "y\r\n" );
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document.write( "So \r\n" );
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document.write( "(x-y)-6 = y\r\n" );
document.write( "

\n" ); document.write( "what are their ages
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document.write( "Simplify and solve this system of equations\r\n" );
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document.write( "for x and y.\r\n" );
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document.write( "Edwin

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