document.write( "Question 1153238: A number, 1/5 of that number, and one sixth of that number are added. The result is 82. What is the original number? (prealgebra) \n" ); document.write( "
Algebra.Com's Answer #775426 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "let a number be \"x\" \r
\n" ); document.write( "\n" ); document.write( "\"1%2F5+\"of that number is \"x%2F5\" \r
\n" ); document.write( "\n" ); document.write( "\"1%2F6\" of that number is \"x%2F6\" \r
\n" ); document.write( "\n" ); document.write( "if they are added, we have \"x%2F5%2Bx%2F6\"\r
\n" ); document.write( "\n" ); document.write( "if the result is \"82\", we have \"x%2F5%2Bx%2F6=82\"\r
\n" ); document.write( "\n" ); document.write( "to find the original number, solve \r
\n" ); document.write( "\n" ); document.write( "\"x%2F5%2Bx%2F6=82\"\r
\n" ); document.write( "\n" ); document.write( "\"6x%2F%286%2A5%29%2B5x%2F%285%2A6%29=82\"\r
\n" ); document.write( "\n" ); document.write( "\"6x%2F30%2B5x%2F30=82\".....both sides multiply by \"30\"\r
\n" ); document.write( "\n" ); document.write( "\"30%286x%2F30%29%2B30%285x%2F30%29=82%2A30\"\r
\n" ); document.write( "\n" ); document.write( "\"6x%2B5x=2460\"\r
\n" ); document.write( "\n" ); document.write( "\"11x=2460\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2460%2F11\"=> exact solution\r
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\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"x%2F5%2Bx%2F6=82\"\r
\n" ); document.write( "\n" ); document.write( "\"%282460%2F11%29%2F5%2B%282460%2F11%29%2F6=82\"\r
\n" ); document.write( "\n" ); document.write( "\"2460%2F55%2B2460%2F66=82\"\r
\n" ); document.write( "\n" ); document.write( "\"44.72727272727272%2B37.27272727272727=82\"\r
\n" ); document.write( "\n" ); document.write( "\"82=82\"\r
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