document.write( "Question 306207: The average of four numbers is 24. if the largest number is left out , the average is 20. . if the smallest is left out , the average is 30. what is the average of the middle two numbers ?\r
\n" ); document.write( "\n" ); document.write( "a 25 b 26 c 27 d 28 e none of these\r
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Algebra.Com's Answer #219189 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Let A,B,C,D be your numbers in increasing value.
\n" ); document.write( "\"%28A%2BB%2BC%2BD%29%2F4=24\"
\n" ); document.write( "\"%28A%2BB%2BC%29%2F3=20\"
\n" ); document.write( "\"%28B%2BC%2BD%29%2F3=30\"
\n" ); document.write( "Let's substitute,
\n" ); document.write( "\"Z=B%2BC\"
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\n" ); document.write( "1.\"A%2BZ%2BD=96\"
\n" ); document.write( "2.\"A%2BZ=60\"
\n" ); document.write( "3.\"Z%2BD=90\"
\n" ); document.write( "From eq. 2,
\n" ); document.write( "\"A%2BZ=60\"
\n" ); document.write( "\"A=60-Z\"
\n" ); document.write( "From eq. 3,
\n" ); document.write( "\"Z%2BD=90\"
\n" ); document.write( "\"D=90-Z\"
\n" ); document.write( "Substitute these into eq. 1,
\n" ); document.write( "\"A%2BZ%2BD=96\"
\n" ); document.write( "\"%2860-Z%29%2BZ%2B%2890-Z%29=96\"
\n" ); document.write( "\"150-Z=96\"
\n" ); document.write( "\"Z=54\"
\n" ); document.write( "So then
\n" ); document.write( "\"B%2BC=54\"
\n" ); document.write( "We're looking for \"%28B%2BC%29%2F2\"
\n" ); document.write( "\"%28B%2BC%29%2F2=27\"
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\n" ); document.write( "c) is the correct answer.
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