document.write( "Question 4827: Find three consecutive even integers such as that twice the sum of the first and second is 10 more then three times the third. \n" ); document.write( "

Algebra.Com's Answer #2329 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
Any problem with word \"consecutive integers\" should make you think about:\r
\n" ); document.write( "\n" ); document.write( "x, x+1, x+2, ...\r
\n" ); document.write( "\n" ); document.write( "Any problem with word \"consecutive even integers\" should make you think about:\r
\n" ); document.write( "\n" ); document.write( "x, x+2, x+4, ...\r
\n" ); document.write( "\n" ); document.write( "x is the first number, and x+2, x+4, etc are next consecutive even number.\r
\n" ); document.write( "\n" ); document.write( "Next, you translate English into Algebrese:\r
\n" ); document.write( "\n" ); document.write( "first: x
\n" ); document.write( "second: x+2
\n" ); document.write( "twice the sum of the first and second: 2*(x+(x+2))
\n" ); document.write( "three times the third: 3*(x+4)
\n" ); document.write( "10 more: 10+\r
\n" ); document.write( "\n" ); document.write( "2*(x+(x+2)) = 10 + 3*(x+4)\r
\n" ); document.write( "\n" ); document.write( "2x+2x+4 = 10 + 3x + 12
\n" ); document.write( "2x+2x-3x = 10 + 12 - 4
\n" ); document.write( "x = 18\r
\n" ); document.write( "\n" ); document.write( "please double check that my solution is correct. \n" ); document.write( "

\n" );