document.write( "Question 697895: Find a number that is 58 more than the sum of its third, tenth, and twelfth parts? \n" ); document.write( "
Algebra.Com's Answer #430336 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "a number \"x\" that is \"58\"\"+more\" than the \"sum\" of its \"third=x%2F3\", \"tenth=x%2F10\", and \"twelfth=x%2F12\" parts;
\n" ); document.write( "so, we have\r
\n" ); document.write( "\n" ); document.write( "\"x=x%2F3%2Bx%2F10%2Bx%2F12%2B58\"....LCD for \"3\",\"10\", and \"12\" is \"60\"\r
\n" ); document.write( "\n" ); document.write( "\"x=20x%2F%2820%2A3%29%2B6x%2F%286%2A10%29%2B5x%2F%285%2A12%29%2B58\"\r
\n" ); document.write( "\n" ); document.write( "\"x=20x%2F60%2B6x%2F60%2B5x%2F60%2B58\"...both sides multiply by \"60\"\r
\n" ); document.write( "\n" ); document.write( "\"60x=20x%2B6x%2B5x%2B58%2A60\"\r
\n" ); document.write( "\n" ); document.write( "\"60x=31x%2B3480\"\r
\n" ); document.write( "\n" ); document.write( "\"60x-31x=3480\"\r
\n" ); document.write( "\n" ); document.write( "\"29x=3480\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=120%29\"\r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "the sum of \"x%2F3%2Bx%2F10%2Bx%2F12=120%2F3%2B120%2F10%2B120%2F12=40%2B12%2B10=62\"\r
\n" ); document.write( "\n" ); document.write( "a number \"x=120%7D%7D++is+%7B%7B%7B58\" more than the sum:\r
\n" ); document.write( "\n" ); document.write( " \"120-62=58\" which shows us it's true
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