document.write( "Question 978939: The difference between two numbers is 11. Twice the smaller number plus three times the larger number is 123. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #600275 by kmarcus1(4)\"\" \"About 
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\"The difference between two numbers is 11. Twice the smaller number plus three times the larger number 123. What are these numbers ? \"\r
\n" ); document.write( "\n" ); document.write( "let:
\n" ); document.write( "x=larger number
\n" ); document.write( "y=smaller number
\n" ); document.write( "x-y=1 (equation 1)
\n" ); document.write( "2y+3x=123 (equation 2)
\n" ); document.write( "-------
\n" ); document.write( "solve for 'y':
\n" ); document.write( "x-y=1
\n" ); document.write( "x=y+1
\n" ); document.write( "substitute the x to equation 2 to get the value of 'y'
\n" ); document.write( "2y+3x=123
\n" ); document.write( "2y+3(y+1)=123
\n" ); document.write( "2y+3y+3=123
\n" ); document.write( "5y+3=123\r
\n" ); document.write( "\n" ); document.write( "y=24
\n" ); document.write( "substitute the value of 'y' in equation 1 to get the value of 'x' .\r
\n" ); document.write( "\n" ); document.write( "x-y=1
\n" ); document.write( "x-24=1
\n" ); document.write( "x=25
\n" ); document.write( "checking:
\n" ); document.write( "x-y=1
\n" ); document.write( "25-24=1 (correct)
\n" ); document.write( "2y+3x=123\r
\n" ); document.write( "\n" ); document.write( "2(24)+3(25)=123
\n" ); document.write( "48+75=123 (correct)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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