document.write( "Question 288281: One Number Is 3 Times Another Number. If The Sum Of The Reciprocals Of The Numbers Is 1/6, What Are The Two Numbers? \n" ); document.write( "
Algebra.Com's Answer #208939 by amnd(23)\"\" \"About 
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Say that one of the number is A, and the other is B. \r
\n" ); document.write( "\n" ); document.write( "A is three times the other number:
\n" ); document.write( "A = 3B\r
\n" ); document.write( "\n" ); document.write( "The reciprocal of a number is another number which, if multiplied by that number, would yield 1. The reciprocal of A would be 1/A, and the reciprocal of B would be 1/B.\r
\n" ); document.write( "\n" ); document.write( "First, finding the value of B:\r
\n" ); document.write( "\n" ); document.write( "\"%281%2FA%29+%2B+%281%2FB%29+=+1%2F6\"
\n" ); document.write( "\"%281%2F3B%29%2B%283%2F3B%29=1%2F6\"
\n" ); document.write( "\"4%2F3B=1%2F6\"\r
\n" ); document.write( "\n" ); document.write( "This would yield:
\n" ); document.write( "\"4%2A6=3B%2A1\"
\n" ); document.write( "\"B=24%2F3\"
\n" ); document.write( "Therefore, B = 8\r
\n" ); document.write( "\n" ); document.write( "\"A=3B=3%2A8\"
\n" ); document.write( "Therefore, A = 24
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