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)![]() ![]() You can put this solution on YOUR website! 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( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This would yield: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Therefore, B = 8\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "Therefore, A = 24 \n" ); document.write( " |