document.write( "Question 563489: find four consecutive integers such that the sum of the first three is 54 more than the fourth. \n" ); document.write( "

Algebra.Com's Answer #364892 by Maths68(1474) $\"\"$ $\"About$

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Let
\n" ); document.write( "First integer = $\"x%2B1\"$
\n" ); document.write( "Second integer= $\"x%2B2\"$
\n" ); document.write( "Third integer = $\"x%2B3\"$
\n" ); document.write( "Fourth integer = $\"x%2B4\"$ \r
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\n" ); document.write( "\n" ); document.write( "Given
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\n" ); document.write( "The sum of the first three is 54 more than the fourth.
\n" ); document.write( " $\"%28x%2B1%29%2B%28x%2B2%29%2B%28x%2B3%29=%28x%2B4%29%2B54\"$
\n" ); document.write( " $\"x%2B1%2Bx%2B2%2Bx%2B3=x%2B4%2B54\"$
\n" ); document.write( " $\"3x%2B6=x%2B58\"$
\n" ); document.write( " $\"3x-x=58-6\"$
\n" ); document.write( " $\"2x=52\"$
\n" ); document.write( "Divide by 2 both sides of the above equation
\n" ); document.write( " $\"2x%2F2=52%2F2\"$
\n" ); document.write( " $\"cross%282%29x%2Fcross%282%29=cross%2852%29%2Fcross%282%29\"$
\n" ); document.write( " $\"x=26\"$ \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First integer = $\"x%2B1\"$ = $\"26%2B1\"$ = $\"27\"$
\n" ); document.write( "Second integer= $\"x%2B2\"$ = $\"26%2B2\"$ = $\"28\"$
\n" ); document.write( "Third integer = $\"x%2B3\"$ = $\"26%2B3\"$ = $\"29\"$
\n" ); document.write( "Fourth integer = $\"x%2B4\"$ = $\"26%2B4\"$ = $\"30\"$ \r
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\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "======
\n" ); document.write( "The sum of the first three is 54 more than the fourth.
\n" ); document.write( " $\"27%2B28%2B29=30%2B54\"$
\n" ); document.write( " $\"84=84\"$ \r
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