document.write( "Question 574170: when one-fifth of a number is added to one-third of the number the sum is 24. what is the number?
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Algebra.Com's Answer #368994 by Maths68(1474) $\"\"$ $\"About$

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Let x be the number
\n" ); document.write( "one-fifth of x= $\"%281%2F5%29x=x%2F5\"$
\n" ); document.write( "one-third of x = $\"%281%2F3%29x=x%2F3\"$ \r
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\n" ); document.write( "\n" ); document.write( "The sum is 24.
\n" ); document.write( " $\"x%2F5%2Bx%2F3=24\"$
\n" ); document.write( "Take LCD
\n" ); document.write( " $\"%283x%2B5x%29%2F15=24\"$
\n" ); document.write( " $\"8x%2F15=24\"$
\n" ); document.write( " $\"%2815%29%288x%2F15%29=%2824%29%2815%29\"$
\n" ); document.write( " $\"cross%2815%29%288x%2Fcross%2815%29%29=360\"$
\n" ); document.write( " $\"8x=360\"$
\n" ); document.write( " $\"8x%2F8=360%2F8\"$
\n" ); document.write( " $\"cross%288%29x%2Fcross%288%29=cross%28360%29%2Fcross%288%29\"$
\n" ); document.write( " $\"x=45\"$ \r
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\n" ); document.write( "\n" ); document.write( "Number is 45\r
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\n" ); document.write( "\n" ); document.write( "Check
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\n" ); document.write( " $\"%2845%29%281%2F5%29%2B%2845%29%281%2F3%29=24\"$
\n" ); document.write( " $\"cross%2845%29%281%2Fcross%285%29%29%2Bcross%2845%29%281%2Fcross%283%29%29=24\"$
\n" ); document.write( " $\"9%2B15=24\"$
\n" ); document.write( " $\"24=24\"$ \r
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