document.write( "Question 822831: Please help me solve this word problem
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document.write( "Quinn is twice as old as Karl and four years older than Parker the sum of their ages is 21. How old is Parker? Thank you! \n" );
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Algebra.Com's Answer #495110 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! I took out the rendering braces so we can read the description and question with much less trouble.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Using p as parker \n" ); document.write( "q as quinn \n" ); document.write( "k as Karl\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "q=2k; \n" ); document.write( "q=4+p; \n" ); document.write( "p+q+k=21.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute for q in the age sum equation; and equate the right members of the first two equations, so you'll have two equations in just p and k. \n" ); document.write( "p+(2k)+k=21 and 2k=4+p; \n" ); document.write( "p+3k=21 and 2k=p+4; \n" ); document.write( "p+3k=21 and p-2k=-4. \n" ); document.write( "Now, with these two equations, if you will subtract one of them from the other, you can quickly get a value for k. Elimination method, eliminating p. \n" ); document.write( "You obtain 5k=25, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now you can go back to the first equation for q; \n" ); document.write( "q=2k \n" ); document.write( "q=2*5 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Using second original equation, \n" ); document.write( "q=4+p \n" ); document.write( "10=4+p \n" ); document.write( " |