document.write( "Question 907509: Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #550412 by AlgebraLady88(44)\"\" \"About 
You can put this solution on YOUR website!
We will call the larger of two numbers L and the smaller of the numbers S.
\n" ); document.write( "Three times the larger of two numbers is equal to four times the smaller.
\n" ); document.write( "This can be written as\r
\n" ); document.write( "\n" ); document.write( "3L=4S\r
\n" ); document.write( "\n" ); document.write( "The sum of the numbers is 21.
\n" ); document.write( "This can be written as L+S= 21\r
\n" ); document.write( "\n" ); document.write( "We can plug the equation L+S =21 into 3L=4S either using L= 21-S or S= 21-L.\r
\n" ); document.write( "\n" ); document.write( "Let's try L= 21-S\r
\n" ); document.write( "\n" ); document.write( "3L=4S
\n" ); document.write( "3(21-S)= 4S
\n" ); document.write( "63 -3S = 4S
\n" ); document.write( "-3S-4S = -63
\n" ); document.write( "-7S = -63
\n" ); document.write( "7S = 63
\n" ); document.write( "S = 9\r
\n" ); document.write( "\n" ); document.write( "If S=9, then 3L=4S
\n" ); document.write( " 3L= 4(9)
\n" ); document.write( " 3L= 36
\n" ); document.write( " L= 12\r
\n" ); document.write( "\n" ); document.write( "Check our work
\n" ); document.write( "3L= 4S
\n" ); document.write( "3(12) = 4 (9) Yes!
\n" ); document.write( " \n" ); document.write( "
\n" );