document.write( "Question 279600: The sum of two numbers is 54 and their difference is nine more than the smaller number. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #203276 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
sorry but 45+12 =57 NOT 54\r
\n" ); document.write( "\n" ); document.write( "y+x=54
\n" ); document.write( "y-x=x+9
\n" ); document.write( "2y=x+63
\n" ); document.write( "2y-63=x
\n" ); document.write( "x=2y-63
\n" ); document.write( "x=54-y
\n" ); document.write( "2y-63=54-y
\n" ); document.write( "3y=117
\n" ); document.write( "y=39
\n" ); document.write( "y+x=54
\n" ); document.write( "39+x=54
\n" ); document.write( "x=15
\n" ); document.write( "x=15 y=39\r
\n" ); document.write( "\n" ); document.write( "check
\n" ); document.write( "39+15=54
\n" ); document.write( "39-15=15+9
\n" ); document.write( "24=24\r
\n" ); document.write( "\n" ); document.write( "ok
\n" ); document.write( "x=15 y=39
\n" ); document.write( "also adapting the other tutor's method
\n" ); document.write( "54-x-x=x+9
\n" ); document.write( "54-2x=x+9
\n" ); document.write( "45=3x
\n" ); document.write( "15=x
\n" ); document.write( "54-15=39
\n" ); document.write( "the numbers are 15 and 39
\n" ); document.write( "or even
\n" ); document.write( "x-(54-x)=54-x+9
\n" ); document.write( "x-54+x=63-x
\n" ); document.write( "2x-54=63-x
\n" ); document.write( "3x=117
\n" ); document.write( "x=39
\n" ); document.write( "54-x=15
\n" ); document.write( "again the numbers are 15 and 39
\n" ); document.write( "What did the other tutor do wrong?
\n" ); document.write( "he used the larger number plus 9 not the smaller number plus 9 \n" ); document.write( "

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