document.write( "Question 1093907: Aaron is four more than one-half as old as Hunter. Kevin is thirty-one less than four times the age of Aaron. In five years, Kevin will be twenty-five less than three times the age of Aaron. How old is Kevin? \n" ); document.write( "

Algebra.Com's Answer #708537 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Aaron is four more than one-half as old as Hunter. Kevin is thirty-one less than four times the age of Aaron.
\n" ); document.write( "In five years, Kevin will be twenty-five less than three times the age of Aaron. How old is Kevin?
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document.write( "From the condition, you have these two equations\r\n" );
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document.write( "K = 4A - 31,              (1)\r\n" );
document.write( "K+5 = 3*(A+5)-25.         (2)\r\n" );
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document.write( "Substitute K from (1) into (2) to get an equation for A:\r\n" );
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document.write( "(4A-31) + 5 = 3*(A+5) - 25,\r\n" );
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document.write( "4A - 26 = 3A - 10,\r\n" );
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document.write( "4A - 3A = 26 - 10 = 16  ====>  A = 16.\r\n" );
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document.write( "Aaron is 16 years old now.\r\n" );
document.write( "Kevin is 4*A - 31 = 4*16-31 = 64-31 = 33.\r\n" );
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document.write( "Answer.  Kevin is 33 years old now.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The info related to Hunter is not relevant to the question.\r
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