document.write( "Question 1147435: Paula is 10 years younger than Greg. In 7 years, she will be 10 years more than half as old as Greg. Find their age at present? \n" ); document.write( "

Algebra.Com's Answer #768764 by ikleyn(52782) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The setup\r\n" );
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document.write( "in the post by @josgarithmetic is INCORRECT.\r\n" );
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document.write( "The correct setup is THIS system of two equations\r\n" );
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document.write( "To solve the system, substitute my first equation to the second equation to get\r\n" );
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document.write( "    (g-10) + 7 = 10 + .\r\n" );
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document.write( "Next, multiply both sides  by 2 and simplify, step by step\r\n" );
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document.write( "     2*(g-10) + 14 = 20 + (g+7)\r\n" );
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document.write( "     2g - 20 + 14  = 20 + g + 7\r\n" );
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document.write( "     2g - 6        = g + 27\r\n" );
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document.write( "     2g - g        = 27 + 6\r\n" );
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document.write( "      g            = 33.\r\n" );
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document.write( "Thus Greg is 33 years old.              ANSWER\r\n" );
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document.write( "Then Paula is 33-10 = 23 years old.     ANSWER\r\n" );
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