document.write( "Question 59121: 5 times the first of 3 consecutive even integers is 14 more than 3 times the second. What is the third consecutive integer? \r
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document.write( "a. 10
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document.write( "b. 12
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document.write( "c. 14
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document.write( "d. 16
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document.write( "e. 18 \r
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Algebra.Com's Answer #40580 by funmath(2933) ![]() You can put this solution on YOUR website! 5 times the first of 3 consecutive even integers is 14 more than 3 times the second. What is the third consecutive integer? \r \n" ); document.write( "\n" ); document.write( "a. 10 \n" ); document.write( "b. 12 \n" ); document.write( " \n" ); document.write( "d. 16 \n" ); document.write( "e. 18 \n" ); document.write( ": \n" ); document.write( "Even integers are counted by adding 2 \n" ); document.write( "2,4,6,8,... \n" ); document.write( "2,2+2,2+2+2,2+2+2+2,... \n" ); document.write( "Let the first even integer be:x \n" ); document.write( "Then the second even integer is:x+2 \n" ); document.write( "Finally the third even integer is:x+2+2=x+4 \n" ); document.write( "5 times the first means:5x \n" ); document.write( "is mean:= \n" ); document.write( "14 more than means:+14 \n" ); document.write( "3 times the second means:3(x+2) \n" ); document.write( "Problem to solve: \n" ); document.write( "5x=3(x+2)+14 \n" ); document.write( "5x=3x+6+14 \n" ); document.write( "5x=3x+20 \n" ); document.write( "5x-3x=-3x+3x+20 \n" ); document.write( "2x=20 \n" ); document.write( "2x/2=20/2 \n" ); document.write( "x=10 \n" ); document.write( "The first even integer is: x=10 \n" ); document.write( "the second even integer is:x+2=10+2=12 \n" ); document.write( "***The third even integer is:x+4=10+4=14 (c) \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " \n" ); document.write( " |