document.write( "Question 214750: One-sixth of the smallest of three consecutive even integers is three less than one-tenth the sum of the other even integers. Find the integers.
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document.write( "1/6x +3 = 1/10 (x+2)+(x+4)
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document.write( "1/6x +3 = 1/10 (2x+6)
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document.write( "1/6x +3 -3 = 1/10 (2x+3)
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document.write( "here is where I lose it, do not understand what to do with the fractions. \n" );
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Algebra.Com's Answer #162190 by drj(1380)![]() ![]() You can put this solution on YOUR website! One-sixth of the smallest of three consecutive even integers is three less than one-tenth the sum of the other even integers. Find the integers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let x be an even integer, x+2 and x+4 be the next two consecutive integers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. x+2+x+4 is the sum of the two even integers or 2x+6\r \n" ); document.write( "\n" ); document.write( "Step 3. (2x+6)/10 is one-tenth of the sum of the other even integers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. x/6 is one-sixth of the smallest even itneger\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6 Multiply 60 to both sides of the equation to get rid of the fractions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 144-10x to both sides\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 7. The numbers are 72, 74 and 76.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |