document.write( "Question 472635: How would I set up a system of equations for \"Sue is older than Ken. The difference of their ages is 12 and the sum of their ages is 50.\" And how would I find the ages of each of them? \n" ); document.write( "
Algebra.Com's Answer #323995 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
How would I set up a system of equations for \"Sue is older than Ken.
\n" ); document.write( " The difference of their ages is 12 and the sum of their ages is 50.\"
\n" ); document.write( "And how would I find the ages of each of them?
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each sentence
\n" ); document.write( ";
\n" ); document.write( "\"The difference of their ages is 12\"
\n" ); document.write( "s - k = 12
\n" ); document.write( ":
\n" ); document.write( "\"the sum of their ages is 50.\"
\n" ); document.write( "s + k = 50
\n" ); document.write( ":
\n" ); document.write( "Use elimination
\n" ); document.write( "s - k = 12
\n" ); document.write( "s + k = 50
\n" ); document.write( "--------------adding eliminates k, find s
\n" ); document.write( "2s = 61
\n" ); document.write( "s = 31 is Sue's age, you can find Ken's age I'm sure\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );