document.write( "Question 1173273: Find four consecutive even integers such that three times the sum of the first
\n" );
document.write( "and third numbers is equal to four times the sum of the second and fourth
\n" );
document.write( "numbers. \n" );
document.write( "
Algebra.Com's Answer #798473 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! Find four consecutive even integers... \n" ); document.write( " \r\n" ); document.write( "the first number, the smallest, even integer = x\r\n" ); document.write( "\r\n" ); document.write( "the second number, the next to smallest, even integer = x+2\r\n" ); document.write( "\r\n" ); document.write( "the third number, the next to largest, even integer = x+4\r\n" ); document.write( "\r\n" ); document.write( "the fourth number, the largest even integer = x+6\r\n" ); document.write( "\r\n" ); document.write( "the sum of the first and third numbers = x+(x+4) = x+x+4 = 2x+4 \r\n" ); document.write( "\r\n" ); document.write( "the sum of the second and fourth numbers. (x+2)+(x+6) = x+2+x+6 = 2x+8 \r\n" ); document.write( "...three times the sum of the first and third numbers is equal to \n" ); document.write( "four times the sum of the second and fourth numbers. \r\n" ); document.write( "\r\n" ); document.write( "3(2x+4) = 4(2x+8)\r\n" ); document.write( " 6x+12 = 8x+32\r\n" ); document.write( " -2x = 20\r\n" ); document.write( " x = -10\r\n" ); document.write( "\r\n" ); document.write( "So,\r\n" ); document.write( "\r\n" ); document.write( "he first number, the smallest, even integer = -10\r\n" ); document.write( "\r\n" ); document.write( "the second number, the next to smallest, even integer = -8\r\n" ); document.write( "\r\n" ); document.write( "the third number, the next to largest, even integer = -6\r\n" ); document.write( "\r\n" ); document.write( "the fourth number, the largest even integer = -4\r\n" ); document.write( "\r\n" ); document.write( "Answer: 10, -8, -6, -4.\r\n" ); document.write( "\r\n" ); document.write( "Checking: \r\n" ); document.write( "\r\n" ); document.write( "the sum of the first and third numbers = (-10)+(-6) = -16 \r\n" ); document.write( " \r\n" ); document.write( "the sum of the second and fourth numbers = (-8)+(-4) = -12\r\n" ); document.write( "\r\n" ); document.write( "It's true that 3 times -16 which is -48, is equal \r\n" ); document.write( "to 4 times -12, which is also -48.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |