document.write( "Question 54443: John is 5 years older than AL. Two years ago the product of their ages was 30 less than it is now. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #36695 by Edwin McCravy(20054)\"\" \"About 
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John is 5 years older than AL. Two years ago the product\r\n" );
document.write( "of their ages was 30 less than it is now. How old are \r\n" );
document.write( "they now?\r\n" );
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document.write( "John's age now = J\r\n" );
document.write( "Al's age now = A\r\n" );
document.write( "John's age two years ago = J-2\r\n" );
document.write( "Al's age two years ago = A-2\r\n" );
document.write( "Product of their ages now = JA\r\n" );
document.write( "Product of their ages two years ago = (J-A)(A-2) \r\n" );
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document.write( ">>...John is 5 years older than AL.\r\n" );
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document.write( "J = A + 5\r\n" );
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document.write( ">>...Two years ago the product of their ages was 30 less \r\n" );
document.write( "than it is now...<<\r\n" );
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document.write( "(J-2)(A-2) = JA - 30\r\n" );
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document.write( "Simplify that equation\r\n" );
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document.write( "JA - 2J - 2A + 4 = JA - 30\r\n" );
document.write( "Subtract JA from both sides\r\n" );
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document.write( "    -2J - 2A + 4 = -30\r\n" );
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document.write( "        -2J - 2A = -34\r\n" );
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document.write( "So now you have the system of equations\r\n" );
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document.write( "               J = A + 5 \r\n" );
document.write( "        -2J - 2A = -34\r\n" );
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document.write( "Can you solve that system?  If not post again.\r\n" );
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document.write( "  J = 11,  A = 6\r\n" );
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document.write( "Checking:\r\n" );
document.write( " 11 is indeed 5 more than 6.\r\n" );
document.write( " The product of their ages now = 11×6 = 66\r\n" );
document.write( " The product of their ages two years ago = 9×4 = 36\r\n" );
document.write( " And sure enough, 36 was 30 less than 66. \r\n" );
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document.write( "Edwin
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