document.write( "Question 1009703: If the average of 7 distinct odd numbers is 39, the smallest number is 31 and the largest number is 53, what is the number in the middle? \n" ); document.write( "
Algebra.Com's Answer #625213 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The total is 7*39=273. \n" ); document.write( "Two numbers are known, 31 and 53, and they make 84. \n" ); document.write( "The other 5 must add up to 273-84= 189. \n" ); document.write( "The smallest is 33, the largest 51. \n" ); document.write( "The average value is 37.8 \n" ); document.write( "At least 3 numbers have to be below that, and they would be 33,35,37, whose sum is 105. \n" ); document.write( "That leaves 84 for the other two, and they are 41 and 43.\r \n" ); document.write( "\n" ); document.write( "The list of numbers is \n" ); document.write( "31,33,35,37,41,43,53. They average to 39, and the number in the middle is 37. \n" ); document.write( " |