document.write( "Question 1059623: James is one third Kate's age. Luke is 5 times James age. If there is a difference of 24 years between Luke and Kate's ages, what is the combined total of their ages \n" ); document.write( "

Algebra.Com's Answer #674775 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"J=K%2F3\"$
\n" ); document.write( "2. $\"L=5J\"$
\n" ); document.write( "3. $\"L-K=24\"$
\n" ); document.write( "From 1 and 2,
\n" ); document.write( " $\"L=%285%2F3%29K\"$
\n" ); document.write( "Substituting into 3,
\n" ); document.write( " $\"%285%2F3%29K-K=24\"$
\n" ); document.write( " $\"%282%2F3%29K=24\"$
\n" ); document.write( " $\"K=36\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"J=36%2F3\"$
\n" ); document.write( " $\"J=12\"$
\n" ); document.write( "and
\n" ); document.write( " $\"L=5%2812%29\"$
\n" ); document.write( " $\"L=60\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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