document.write( "Question 155748: 1) find 4 consecutive even integers such that the sum of twice the first, five times the second and four times the third divided by three times the fourth equals 3.
\n" ); document.write( "2) Find three consecutive odd integers such that 4 less than twice the second has the same value as three times the number that is one more that the third.
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Algebra.Com's Answer #114745 by ankor@dixie-net.com(22740)\"\" \"About 
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1) find 4 consecutive even integers such that the sum of twice the first, five times the second and four times the third divided by three times the fourth equals 3.
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\n" ); document.write( "4 consecutive integers: x, x+2, x+4, x+6
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\n" ); document.write( "Write an equation for the statement:
\n" ); document.write( "\"the sum of twice the first, five times the second and four times the third divided by three times the fourth equals 3.\"
\n" ); document.write( "\"%28%282x+%2B+5%28x%2B2%29+%2B+4%28x%2B4%29%29%29%2F%283%28x%2B6%29%29\" = 3
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\n" ); document.write( "\"%28%282x+%2B+5x+%2B+10+%2B+4x+%2B+16%29%29%2F%283x%2B18%29%29\" = 3
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\n" ); document.write( "\"%28%2811x+%2B+26%29%29%2F%283x%2B18%29%29\" = 3
\n" ); document.write( "Multiply both sides by (3x+18)
\n" ); document.write( "11x + 26 = 3(3x + 18)
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\n" ); document.write( "11x + 26 = 9x + 54
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\n" ); document.write( "11x - 9x = 54 - 26
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\n" ); document.write( "2x = 28
\n" ); document.write( "x = \"28%2F2\"
\n" ); document.write( "x = 14
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\n" ); document.write( "The four numbers: 14, 16, 18, 20
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\n" ); document.write( "Check the solutions in the statement:
\n" ); document.write( "\"the sum of twice the first, five times the second and four times the third divided by three times the fourth equals 3.\"
\n" ); document.write( "\"%28%282%2814%29+%2B+5%2816%29+%2B+4%2818%29%29%29%2F%283%2820%29%29\" = 3
\n" ); document.write( "\"%28%2828+%2B+80+%2B+72%29%29%2F%2860%29\" = 3
\n" ); document.write( "\"180%2F60\" = 3
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\n" ); document.write( "2) Find three consecutive odd integers such that 4 less than twice the second has the same value as three times the number that is one more that the third.
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\n" ); document.write( "We have: x, (x+2), (x+4) as the three consecutive odd numbers
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\n" ); document.write( "2(x+2)- 4 = 3(x+4+1)
\n" ); document.write( "2x + 4 - 4 = 3(x+5)
\n" ); document.write( "2x = 3x + 15
\n" ); document.write( "2x = 3x = 15
\n" ); document.write( "-x = 15
\n" ); document.write( "x = -15
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\n" ); document.write( "The numbers: -15, -13, -11
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\n" ); document.write( "Check:
\n" ); document.write( "2(-13) - 4 = 3(-11+1)
\n" ); document.write( "-26 - 4 = 3(-10) \n" ); document.write( "
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