document.write( "Question 191317: The sum of mulptiplicative inverse of two positive even integers is 5/12.find the integers . \n" ); document.write( "
Algebra.Com's Answer #145108 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! There isn’t enough information to this problem for it to be solved. \n" ); document.write( "However, I assumed that it was supposed to read the following: \n" ); document.write( "“The sum of the multiplicative inverse of two positive CONSECUTIVE even integers is 5/12.find the integers.”\r \n" ); document.write( "\n" ); document.write( "From this assumption, let the first even integer be x \n" ); document.write( "Then the following consecutive even integer will be x + 2\r \n" ); document.write( "\n" ); document.write( "Since the assumption is that the sum of the multiplicative inverse of these 2 numbers is 5/12, then \n" ); document.write( "\n" ); document.write( "Then, 12x + 24 + 12x = 5x(x + 2)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x(x – 4) + 6(x – 4) = 0\r \n" ); document.write( "\n" ); document.write( "(5x + 6)(x – 4) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since 5x + 6 = 0 will produce a decimal, we eliminate this x-value as it was given that the 2 numbers are INTEGERS, or whole numbers. Therefore, the first even integer is 4, which makes the second even integer, 6. \n" ); document.write( " \n" ); document.write( " |