document.write( "Question 1184242: P is 2 times the age of K. In 5 years the sum of their age will be 37. What is their average age? \n" ); document.write( "

Algebra.Com's Answer #814776 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "if $\"P+\"$ is $\"2\"$ times the age of $\"K\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"P+=2K\"$ ....eq.1\r
\n" ); document.write( "\n" ); document.write( " if in $\"5\"$ years the sum of their age will be $\"37\"$ , we have\r
\n" ); document.write( "\n" ); document.write( " $\"%28P%2B5%29+%2B%28K%2B5%29=37\"$
\n" ); document.write( " $\"P+%2BK%2B10=37\"$
\n" ); document.write( " $\"P+%2BK=37-10\"$
\n" ); document.write( " $\"P+%2BK=27\"$ ...eq.2\r
\n" ); document.write( "\n" ); document.write( "substitute $\"P\"$ from eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"2K+%2BK=27\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3K=27\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"K=9\"$ \r
\n" ); document.write( "\n" ); document.write( "then
\n" ); document.write( " $\"P+=2%2A9\"$ ....eq.1
\n" ); document.write( " $\"P+=18\"$ \r
\n" ); document.write( "\n" ); document.write( " their average age: $\"P+\"$ is $\"18\"$ and $\"K+\"$ is $\"9\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "in $\"5\"$ years $\"P+=23\"$ and $\"K=14\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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