SOLUTION: 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. Thank you...p.s this i

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: 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. Thank you...p.s this i      Log On


   

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.
Thank you...p.s this is due tomorrow in school for me:(
Answer by bam878s(77) About Me  (Show Source):
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.