document.write( "Question 1012360: \" The sum of Allan and Ben's age is 45. Seven years ago, Allan was 16 years more than one- half as old as Ben was then.
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Algebra.Com's Answer #628258 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Let: A = Allen's age NOW\r\n" );
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document.write( "Let: B = Ben's age NOW\r\n" );
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document.write( "Then: A-7 = Allen's age 7 years ago\r\n" );
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document.write( "And: B-7 = Ben's age 7 years ago.\r\n" );
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document.write( "Also: one-half as old as Ben was then = (B-7)\r\n" );
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document.write( "And: 16 years more than one- half as old as Ben was then =\r\n" );
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document.write( "(B-7)+16\r\n" );
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\n" ); document.write( "\" The sum of Allan and Ben's age is 45.
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document.write( "A + B = 45\r\n" );
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\n" ); document.write( "Seven years ago, Allan was 16 years more than one- half as old as Ben was then.
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document.write( "A-7 = (B-7)+16\r\n" );
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document.write( "So the system of equations is\r\n" );
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document.write( "Simplify the second equation, first by multiplying\r\n" );
document.write( "both sides by 2:\r\n" );
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document.write( "Now solve the system of equations:\r\n" );
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document.write( "Edwin

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