document.write( "Question 447783: The sum of two numbers is 41 and the difference is 5. What are the numbers?
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Algebra.Com's Answer #853352 by ikleyn(53617) $\"\"$ $\"About$

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\n" ); document.write( "The sum of two numbers is 41 and the difference is 5. What are the numbers?
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\n" ); document.write( "\n" ); document.write( " Problems of this kind can be also easy solved mentally.\r
\n" ); document.write( "\n" ); document.write( " Below I show such a solution.\r
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document.write( "So, you have two numbers, whose sum is 41 and the difference is 5.\r\n" );
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document.write( "Mentally, diminish the greater number by 5.\r\n" );
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document.write( "Then you will have two equal numbers, their difference will be 0, \r\n" );
document.write( "and their sum will be 5 units less than 41, i.e. 41-5 = 36.\r\n" );
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document.write( "But if two equal numbers sum to 36, then the numbers are 18 units.\r\n" );
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document.write( "Thus, your lesser number is 18, while the greater number is 18+5 = 23.\r\n" );
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document.write( "ANSWER.  The numbers are 18 and 23, obtained MENTALLY.\r\n" );
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