document.write( "Question 401113: The sum of one-half of a number, one-ninth of the number, and one-twelfth of the number is twenty-five. What is the original number? \n" ); document.write( "

Algebra.Com's Answer #283823 by algebrahouse.com(1659) $\"\"$ $\"About$

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The sum of one-half of a number, one-ninth of the number, and one-twelfth of the number is twenty-five. What is the original number?
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\n" ); document.write( "\n" ); document.write( "x = the number\r
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\n" ); document.write( "\n" ); document.write( "1/2(x) + 1/9(x) 1/12(x) = 25
\n" ); document.write( "36[1/2(x) + 1/9(x)+ 1/12(x) = 25] {multiplied entire equation by the LCD, 36}
\n" ); document.write( "36(1/2x) + 36(1/9x) + 36(1/12x) = 36(25) {multiplied each term by 36}
\n" ); document.write( "18x + 4x + 3x = 900 {multiplied each term by 36}
\n" ); document.write( "25x = 900 {combined like terms}
\n" ); document.write( "x = 36 {divided both sides by 36}
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