document.write( "Question 1135145: Alyssa age is 6 years less than twice Kevin's age. Alyssa's age is 15 years minus Kevin's age. How old is Alyssa. \n" ); document.write( "

Algebra.Com's Answer #752693 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "From the condition, you have these 2 equations\r\n" );
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document.write( "    A = 2K -6      (1)\r\n" );
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document.write( "    A = 15 - K     (2)\r\n" );
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document.write( "From this point, there are (at least) two ways to complete the solution.\r\n" );
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document.write( "Simplest way to solve this system of equations is to notice that equations (1) and (2) have identical left sides - \r\n" );
document.write( "hence, their right sides are equal:\r\n" );
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document.write( "    2K - 6 = 15 - K,\r\n" );
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document.write( "    2K + K = 15 + 6\r\n" );
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document.write( "    3K = 21    ==============>  K = 21/3 = 7.\r\n" );
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document.write( "So Kevin is 7 years old.  Then from equation (2)  A = 15 - 7 = 8.  \r\n" );
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document.write( "So Alyssa is 8 years old.   ANSWER\r\n" );
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