document.write( "Question 584165: find all sets of three consecutive multiples of 4 whose sum is between 72 and 108 \n" ); document.write( "
Algebra.Com's Answer #372707 by htmentor(1343)\"\" \"About 
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find all sets of three consecutive multiples of 4 whose sum is between 72 and 108
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\n" ); document.write( "Let n = the smallest number
\n" ); document.write( "Then the other two numbers are n+4 and n+8
\n" ); document.write( "The sum is n + n+4 + n+8 = 3n + 12
\n" ); document.write( "72 <= 3n+12 <= 108
\n" ); document.write( "This gives
\n" ); document.write( "72 <= 3n+12
\n" ); document.write( "60 <= 3n
\n" ); document.write( "20 <= n
\n" ); document.write( "3n+12 <= 108
\n" ); document.write( "3n <= 96
\n" ); document.write( "n <= 32
\n" ); document.write( "So n ranges from 20 to 32. This gives the following sets:
\n" ); document.write( "20, 24, 28
\n" ); document.write( "24, 28, 32
\n" ); document.write( "28, 32, 36
\n" ); document.write( "32, 36, 40 \n" ); document.write( "
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