document.write( "Question 249540: Find three consecutive integers such that the sum of the middle number and three times the largest number is five times the smallest number. \n" ); document.write( "

Algebra.Com's Answer #181729 by chosenpoint(26) $\"\"$ $\"About$

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Numbers_Word_Problems/249540 (2009-12-13 22:55:17): Find three consecutive integers such that the sum of the middle number and three times the largest number is five times the smallest number.
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\n" ); document.write( "\n" ); document.write( "We will set up some variables and equations to solve this one:
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\n" ); document.write( "\n" ); document.write( "Let the three consecutive integers be x, x+1, and x+2
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\n" ); document.write( "\n" ); document.write( "We are given:
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\n" ); document.write( "\n" ); document.write( " $\"%28x%2B1%29%2B3%2A%28x%2B2%29=5x\"$ given
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\n" ); document.write( "\n" ); document.write( " $\"x%2B1%2B3x%2B6=5x\"$ distribute
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\n" ); document.write( "\n" ); document.write( " $\"4x%2B7=5x\"$ simplify
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\n" ); document.write( "\n" ); document.write( " $\"x=7\"$ subtract 4x from each side and simplify to final answer
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\n" ); document.write( "\n" ); document.write( "The smallest integer is 7, thus, the three consecutive integers are 7, 8, and 9. Check it, it works!!! :)
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