document.write( "Question 828921: The sum of two numbers is 55. Twice the smaller is 9 more than the bigger number. Find the bigger number. \n" ); document.write( "

Algebra.Com's Answer #499601 by Fombitz(32388) $\"\"$ $\"About$

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Let A and B be the two numbers.
\n" ); document.write( "1. $\"A%2BB=55\"$
\n" ); document.write( "and
\n" ); document.write( "2. $\"2%2AA=9%2BB\"$
\n" ); document.write( "From 2,
\n" ); document.write( " $\"2%2AA=9%2BB\"$
\n" ); document.write( " $\"B=2%2AA-9\"$
\n" ); document.write( "Substitute into 1,
\n" ); document.write( " $\"A%2BB=55\"$
\n" ); document.write( " $\"A%2B%282A-9%29=55\"$
\n" ); document.write( " $\"3A-9=55\"$
\n" ); document.write( " $\"3A=64\"$
\n" ); document.write( " $\"highlight%28A=64%2F3%29\"$
\n" ); document.write( "Then from 2,
\n" ); document.write( " $\"B=2%2AA-9\"$
\n" ); document.write( " $\"B=2%2864%2F3%29-9\"$
\n" ); document.write( " $\"B=128%2F3-27%2F3\"$
\n" ); document.write( " $\"highlight%28B=101%2F3%29\"$
\n" ); document.write( " \n" ); document.write( "

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