document.write( "Question 1149318: Cary is 6 years older than Dan. In 9 years the sum of their ages will be 100. Find the age of each man now. \n" ); document.write( "

Algebra.Com's Answer #770671 by ikleyn(52795) $\"\"$ $\"About$

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\n" ); document.write( "You can easily solve it MENTALLY in your head, without using equation/equations.\r
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document.write( "(1)  In 9 years the sum of their ages will be 100 ---- hence, now the sum of their ages is  100-2*9 = 100-18 = 82.\r\n" );
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document.write( "(2)  Cary is 6 years older than Dan and the sum of their ages is 82.\r\n" );
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document.write( "     Take half of 82, which is 41, and SUBTRACT half of 6, i.e. 3, from 41 --- you will get  41-3 = 38 years.\r\n" );
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document.write( "     It is the age of the younger men, Dan.\r\n" );
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document.write( "     Take half of 82 again, which is 41, and ADD half of 6, i.e. 3, to it --- you will get  41+3 = 44 years.\r\n" );
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document.write( "     It is the age of the older men, Cary.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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