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 #643761 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "a man, when asked the ages of his two sons,
\n" ); document.write( "Let younger son be x
\n" ); document.write( "and elder be y\r
\n" ); document.write( "\n" ); document.write( " 18 more than the sum of their ages is double the age of the older.\r
\n" ); document.write( "\n" ); document.write( "(x+y)+18 = 2y
\n" ); document.write( "y-x=18...................(1)\r
\n" ); document.write( "\n" ); document.write( " Six less than the difference of their ages is the age of the youngest. what are their ages\r
\n" ); document.write( "\n" ); document.write( "(y-x)-6=x\r
\n" ); document.write( "\n" ); document.write( "y-2x=6........................(2)\r
\n" ); document.write( "\n" ); document.write( "subtract (1) & (2)\r
\n" ); document.write( "\n" ); document.write( "x=12\r
\n" ); document.write( "\n" ); document.write( "y=30
\n" ); document.write( "
\n" ); document.write( "
\n" );