document.write( "Question 278003: the difference of two numbers is 6. one-half of the larger is 5 larger than one-third of the smaller. find the number \n" ); document.write( "

Algebra.Com's Answer #202361 by unlockmath(1688) $\"\"$ $\"About$

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Hello,
\n" ); document.write( "Let's show the larger as x and the smaller as y. Now we can set up 2 equations and solve.
\n" ); document.write( "x-y=6
\n" ); document.write( "1/2(x)=1/3(y)+5 Subtract 1/3(y) from both sides to get:
\n" ); document.write( "1/2(x)-1/3(y)=5 Multiply this by -2 so we can cancel out x:
\n" ); document.write( "-x+2/3(y)=-10 Add this equation to the first equation:
\n" ); document.write( "x-y=6 And we get:
\n" ); document.write( "-1/3(y)=-4 Divide both sides by -1/3
\n" ); document.write( "y=12 Plug this value into the first one and we get:
\n" ); document.write( "x=18
\n" ); document.write( "Check these answers out for each equation to see if it's right.
\n" ); document.write( "RJ
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\n" ); document.write( "www.math-unlock.com \n" ); document.write( "

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