document.write( "Question 1053483: Find four consecutive even integers such that two times the sum of the first and second is 40 more than three times the fourth explain \n" ); document.write( "

Algebra.Com's Answer #668730 by KMST(5328) $\"\"$ $\"About$

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Let $\"n\"$ , $\"n%2B2\"$ , $\"n%2B4\"$ and $\"n%2B6\"$ be the four consecutive even integers.
\n" ); document.write( "So,
\n" ); document.write( " $\"n%2B%28n%2B2%29\"$ = the sum of the first and second integers,
\n" ); document.write( " $\"2%28n%2B%28n%2B2%29%29\"$ = two times the sum of the first and second integers,
\n" ); document.write( " $\"3%28n%2B6%29\"$ = three times the fourth integer, and
\n" ); document.write( " $\"3%28n%2B6%29%2B40\"$ = 40 more than three times the fourth integer.
\n" ); document.write( "The problem says that
\n" ); document.write( " $\"2%28n%2B%28n%2B2%29%29=3%28n%2B6%29%2B40\"$ ,
\n" ); document.write( "and that is the equation we have to solve.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"2%28n%2B%28n%2B2%29%29=3%28n%2B6%29%2B40\"$
\n" ); document.write( " $\"2%282n%2B2%29=3n%2B18%2B40\"$
\n" ); document.write( " $\"4n%2B4=3n%2B58\"$
\n" ); document.write( " $\"4n-3n=58-4\"$
\n" ); document.write( " $\"highlight%28n=54%29\"$
\n" ); document.write( "So the four consecutive even integers are
\n" ); document.write( " $\"highlight%2854%29\"$ , $\"highlight%2856%29\"$ , $\"highlight%2858%29\"$ and $\"highlight%2860%29\"$ .
\n" ); document.write( "
\n" ); document.write( "Verification:
\n" ); document.write( "The sum of the first and second integers is $\"54%2B56=110\"$ .
\n" ); document.write( "Two times the sum of the first and second integers is $\"2%2A110=220\"$ .
\n" ); document.write( "Three times the fourth integer is $\"3%2A60=180\"$ .
\n" ); document.write( "Forty (40) more than three times the fourth integer is $\"180%2B40=220\"$ . \n" ); document.write( "

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