document.write( "Question 653256: The sum of the largest and smallest of three consecutive even numbers is 68. What are the three numbers? \n" ); document.write( "
Algebra.Com's Answer #408310 by Shana-D77(132)![]() ![]() You can put this solution on YOUR website! To generalize three consecutive even numbers, we can write: \n" ); document.write( "first number: x \n" ); document.write( "second number number: x + 2 \n" ); document.write( "third number: x + 4\r \n" ); document.write( "\n" ); document.write( "So, the largest is x + 4. The smallest is x. \"the sum of the largest and smallest is 68\":\r \n" ); document.write( "\n" ); document.write( "x + (x + 4) = 68 \n" ); document.write( "2x + 4 = 68 (combined like terms on the left side of the equation) \n" ); document.write( "2x = 64 (subtracted 4 from both sides) \n" ); document.write( "x = 32 (divided bith sides by 2)\r \n" ); document.write( "\n" ); document.write( "If the smallest number (x) is 32, then the next even number (x + 2) is 34, and the next one after that (x + 4) is 36.\r \n" ); document.write( "\n" ); document.write( "check: 32 + 36 = 68 \n" ); document.write( "answer: 32, 34, 36 \n" ); document.write( " \n" ); document.write( " |