document.write( "Question 1197889: 5/12 of a number is subtracted from 3/4 of the number.Their positive difference is 7 less than 5/6 of the number.Find the number. \n" ); document.write( "

Algebra.Com's Answer #831616 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Here is one of many alternative methods for solving the problem; this one breaks the solution into two steps, as opposed to the \"standard\" setup using a single equation to represent the whole problem.

\n" ); document.write( "Subtract 5/12 of the number from 3/4 of the number:

\n" ); document.write( " $\"%283%2F4%29n-%285%2F12%29n=%289%2F12%29n-%285%2F12%29n=%284%2F12%29n=%281%2F3%29n\"$

\n" ); document.write( "The result is 7 less than 5/6 of the number:

\n" ); document.write( " $\"%285%2F6%29n-%281%2F3%29n=%285%2F6%29n-%282%2F6%29n=%283%2F6%29n=%281%2F2%29n=7\"$
\n" ); document.write( " $\"n=14\"$

\n" ); document.write( "ANSWER: 14

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