document.write( "Question 1033309: One number is 4 times as large as another. The sum of their reciprocals is 35/4. Find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #647881 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One number is 4 times as large as another. The sum of their reciprocals is 35/4. Find the two numbers. \n" ); document.write( "---- \n" ); document.write( "a = 4b \n" ); document.write( "(1/a) + (1/b) = 35/4 \n" ); document.write( "------------------------------------ \n" ); document.write( "Substitute for \"a\" and solve for \"b\":: \n" ); document.write( "1/(4b) + 1/b = 35/4 \n" ); document.write( "------------------------------- \n" ); document.write( "Multiply thru by 4b to get: \n" ); document.write( "1 + 4 = 35b \n" ); document.write( "b = 5/35 = 1/7 \n" ); document.write( "--------- \n" ); document.write( "a = 4b = 4/7 \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------- \n" ); document.write( " \n" ); document.write( " |