document.write( "Question 1136586: Matt is 4 years older than Todd. In 3 years. Twice matt’s Age will be 8 more than twice Todd’s age. Find their ages
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Algebra.Com's Answer #754362 by ikleyn(52847) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Then fix your error.\r
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\n" ); document.write( "Comment from student: Matt is 4 years older than Todd. In 3 years , twice matt’s Age will be 8 more than twice Todd’s age. Find their ages.
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\n" ); document.write( "\n" ); document.write( "My response : OK.\r
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document.write( "    M = T + 4                (1)     (\"Matt is 4 years older than Todd.\")\r\n" );
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document.write( "    2*(M+3) = 2*(T+3) + 8    (2)     (\"In 3 years , twice Matt's age will be 8 more than twice Todd’s age.\")\r\n" );
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document.write( "First step simplify (2)\r\n" );
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document.write( "    2M + 6 = 2T + 6 + 8\r\n" );
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document.write( "    2M = 2T + 8\r\n" );
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document.write( "    M =  T + 4                (3)\r\n" );
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document.write( "Thus you have THIS:\r\n" );
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document.write( "    equation (2) is equivalent to equation (3), which is identical to equation (1).\r\n" );
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document.write( "It means that equations (1) and (3) are identical and have infinitely many solutions, do not allowing to select one unique solution.\r\n" );
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document.write( "It means, in turn, that the problem condition is  DEFECTIVE.\r\n" );
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document.write( "It also means that I spent my time for nothing working on your defective condition.\r\n" );
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