document.write( "Question 13239: If the sum of four consecutive even integers is less than 250, what is the greatest possible value for one of these even integers? Explain your procedure.\r
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document.write( "Thank you...p.s this is due tomorrow in school for me:( \n" );
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Algebra.Com's Answer #6638 by bam878s(77)![]() ![]() ![]() You can put this solution on YOUR website! Hi. Let x = an even integer. Let's first examine an equation equal to 250. We have, x + (x+2) + (x+4) + (x+6) = 250. So x+x+2+x+4+x+6=260. Adding like terms, we have 4x+12=250. Solving this equation for x: 4x+12-12=250-12 leads to 4x=238. Now, dividing by 4 on both sides yields x=59.5. Now when x = 60 the sum of these for consecutive even integers will be greater than 250. So, the first even integer \"down\" from 59.5 is 58. We have 58 + 60 + 62 + 64 = 244. The greatest possible value for one of these integers is 64. \n" ); document.write( " |