document.write( "Question 725586: The average age of a group of 20 boys is increased by one year when 5 of them whose average age was 20 years are replaced by 5 new boys. The average age of new comers is \n" ); document.write( "
Algebra.Com's Answer #444215 by god2012(113)![]() ![]() You can put this solution on YOUR website! Solution:\r \n" ); document.write( "\n" ); document.write( "Let 'x' be the sum of ages of first 20 boys. \n" ); document.write( "Let 'y' be the sum of ages of 5 old boys and \n" ); document.write( "'z' be the sum of ages of 5 new boys.\r \n" ); document.write( "\n" ); document.write( "Given : y/5 = 20 or y = 100 \r \n" ); document.write( "\n" ); document.write( "(x - y + z) / 20 = 1 + (x/20)\r \n" ); document.write( "\n" ); document.write( "(x-100 +z)/20 = (x/20) + 1\r \n" ); document.write( "\n" ); document.write( "or z/20 = 6 or Z = 120 \n" ); document.write( "Average of 5 new comers = Z / 5 = 120 / 5 = 24 years \n" ); document.write( " |