document.write( "Question 1086953:  The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.\r
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document.write( "How younger is the new member than the older \n" );
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| Algebra.Com's Answer #701210 by Alan3354(69443)     You can put this solution on YOUR website! The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.\r \n" ); document.write( "\n" ); document.write( "How younger is the new member than the older \n" ); document.write( "-------------- \n" ); document.write( "A = avg 4 years ago \n" ); document.write( "A = (9*m + M)/10 --- M = age of the member replaced, m = avg of the other 9\r \n" ); document.write( "\n" ); document.write( "--- \n" ); document.write( "A = (9*(m+4) + N)/10 --- N = age of new member \n" ); document.write( "========== \n" ); document.write( "A = (9*m + M)/10 = (9*(m+4) + N)/10 \n" ); document.write( "(9*m + M)/10 = (9*(m+4) + N)/10 \n" ); document.write( "9*m + M = 9*(m+4) + N \n" ); document.write( "9*m + M = 9*m + 36 + N \n" ); document.write( "M = 36 + N \n" ); document.write( "N = M - 36 \n" ); document.write( "------- \n" ); document.write( "He's 36 years younger\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |