document.write( "Question 76533: Find all sets of three consecutive multiples of 11 for which the sum of the lesser numbers is greater then 100 and the sum of the two greater numbers is less than 200 \n" ); document.write( "
Algebra.Com's Answer #54898 by ankor@dixie-net.com(22740)\"\" \"About 
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Find all sets of three consecutive multiples of 11 for which the sum of the lesser numbers is greater then 100 and the sum of the two greater numbers is less than 200
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\n" ); document.write( "Let x = the multiplier
\n" ); document.write( "The numbers 11x, (11x+11), (11x+22)
\n" ); document.write( "Find x;
\n" ); document.write( "\"the sum of the two greater numbers is less than 200\"
\n" ); document.write( "(11x+11) + (11x+22) < 200
\n" ); document.write( "22x + 33 < 200
\n" ); document.write( "22x < 200 - 33
\n" ); document.write( "22x < 167
\n" ); document.write( "x < 167/22
\n" ); document.write( "x < 7.5
\n" ); document.write( "x = 7 (has to be an integer)
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\n" ); document.write( "Gives us the numbers 77, 88, 99 max
\n" ); document.write( ":
\n" ); document.write( "Sum of the two smallest: 165
\n" ); document.write( "Sum of the two larger: 187
\n" ); document.write( ":
\n" ); document.write( "Find x using:
\n" ); document.write( "11x + (11x+11) > 100
\n" ); document.write( "22x + 11 > 100
\n" ); document.write( "22x > 100 - 11
\n" ); document.write( "22x > 89
\n" ); document.write( "x > 89/22
\n" ); document.write( "x > 4.04
\n" ); document.write( "x = 5
\n" ); document.write( ":
\n" ); document.write( "Gives us 55, 66, 77 min
\n" ); document.write( ":
\n" ); document.write( "3 sets would be 55,66,77; 66,77,88; 77,88,99\r
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