document.write( "Question 165797: The population of Gondor is 3020 and is dropping by 12 people per year. The population of Shire is 824 and is increasing by 5 hobbits per year. How long until Gondor and Shire have the same population? \n" ); document.write( "

Algebra.Com's Answer #122213 by Fombitz(32388) $\"\"$ $\"About$

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\"Gondor is 3020 and is dropping by 12 people per year\"
\n" ); document.write( " $\"G=3020-12%2AY\"$
\n" ); document.write( "\"Shire is 824 and is increasing by 5 hobbits per year\"
\n" ); document.write( " $\"S=824%2B5%2AY\"$
\n" ); document.write( "Set the two populations equal to each other and solve for Y.
\n" ); document.write( " $\"G=S\"$
\n" ); document.write( " $\"3020-12Y=824%2B5y\"$
\n" ); document.write( " $\"-17Y=-2196\"$
\n" ); document.write( " $\"Y=2196%2F17=129.2\"$
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( "It's not an exact year, around the second month in the 129th year.
\n" ); document.write( "Around then, each village will have 1470 inhabitants.
\n" ); document.write( " \n" ); document.write( "

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