document.write( "Question 1158528: Agie is 2 years olderthan Gavin.In 6 years , Gavin's age will be twice Angie's agenow.How old are they 6years from now? \n" ); document.write( "

Algebra.Com's Answer #781493 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Agie is 2 years older than Gavin. In 6 years, Gavin's age will be twice Angie's age now.
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\n" ); document.write( "\n" ); document.write( " To facilitate the solution, I first edited the post,
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document.write( "Let G be the Gavin's age 6 years from now.\r\n" );
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document.write( "Then his age NOW is (G-6) years.\r\n" );
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document.write( "Agie's age 6 years from now is 2 years more than Gavin's, i.e. (G+2) years.\r\n" );
document.write( "Hence, Agie's age NOW is ((G+2)-6) = (G-4).\r\n" );
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document.write( "The condition gives us THIS equation\r\n" );
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document.write( "    G = 2*(G-4).\r\n" );
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document.write( "Simplify and solve\r\n" );
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document.write( "    G = 2G - 8\r\n" );
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document.write( "    8 = 2G - G\r\n" );
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document.write( "    G = 8.\r\n" );
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document.write( "ANSWER.  Gavin' age 6 years from now will be 8 years.\r\n" );
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document.write( "         Agie's age 6 years from now will be 8+2 = 10 years.\r\n" );
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