document.write( "Question 1145796: Cary is 7 years older than Dan. In 10 years the sum of their age will be 103. How old are they now? \n" ); document.write( "

Algebra.Com's Answer #767050 by ikleyn(52810) $\"\"$ $\"About$

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document.write( "C = D + 7                   (1)     \"Cary is 7 years older than Dan.\"\r\n" );
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document.write( "(C + 10) + (D + 10) = 103   (2)     \"In 10 years the sum of their age will be 103.\"\r\n" );
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document.write( "From (2)\r\n" );
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document.write( "C + D = 103 - 20 = 83       (3)\r\n" );
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document.write( "Substitute (1) into (2).\r\n" );
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document.write( "(D+7) + D = 83\r\n" );
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document.write( "2D + 7 = 83\r\n" );
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document.write( "2D     = 83 - 7 = 76\r\n" );
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document.write( " D              = 76/2 = 38.\r\n" );
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document.write( "ANSWER.  Dan is 38 years old.  Cary is 38+7 = 45 years old.\r\n" );
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