document.write( "Question 59953: One number is 3 times another. If the sum of their reciprocals is 4/21, find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #41159 by chitra(359)![]() ![]() You can put this solution on YOUR website! Let \"x\" and \"y\" be two numbers. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Given that one is thrice the other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence x = 3y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Given that the sum of their reciprocals equals 4/21 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus, the equation is: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/(3y + y) = 4/21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/4y = 4/21 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16y = 21\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 21/16 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, x = 3y \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3(21/16) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 63/16 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus the two numbers are x = 63/16 and y = 21/16 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |