document.write( "Question 732523: Sally is 10 years older than Tim. In 8 years, the sum of their ages will be 40. Determine how old Sally and Tim are now. \n" ); document.write( "

Algebra.Com's Answer #852842 by ikleyn(53427) $\"\"$ $\"About$

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\n" ); document.write( "Sally is 10 years older than Tim. In 8 years, the sum of their ages will be 40.
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\n" ); document.write( "\n" ); document.write( " The solution to this problem in the post by @lynnlo is incorrect.\r
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document.write( "Let x be the Tim's age.\r\n" );
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document.write( "Then the Sally's age is (x+10) years.\r\n" );
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document.write( "In 8 years, Tim's age is (x+8) years, while Sally's age is ((x+10)+8) = (x+18) years.\r\n" );
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document.write( "In 8 years, the sum of their ages will be 40 - so we write this equation\r\n" );
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document.write( "    (x+8) + (x+18) = 40.\r\n" );
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document.write( "Simplify and find 'x'\r\n" );
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document.write( "    2x + 26 = 40,\r\n" );
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document.write( "    2x = 40 - 26 = 14,\r\n" );
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document.write( "     x           = 14/2 = 7.\r\n" );
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document.write( "Thus Tim is 7 years old now;  Sally is 7+10 = 17 years old now.   <<<---===  ANSWER\r\n" );
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document.write( "CHECK.  (7+8) + (17+8) = 15 + 25 = 40.   ! correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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