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

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) (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.
RELATED QUESTIONS
The sum of three consecutive even integers is less than 75. What are the greatest... (answered by CubeyThePenguin)

The sum of four consecutive even integers is less than or equal to 116 . find the... (answered by Alan3354,Boreal)

Four consecutive even integers have a sum of 76. What is the greatest of these... (answered by Fombitz)

the sum of four consecutive integers is 250, what is the greatest of these... (answered by neatmath)

Four consecutive even integers add up to 220. What is the greatest of these integers? (answered by Boreal,greenestamps)

the greatest of four consecutive even integers is 14 less than twice the smallest... (answered by stanbon)

The sum of 12 positive even integers is 46. Some of these integers are equal to each... (answered by colliefan)

Thank you for your help. My question is: The greatest of four consecutive even... (answered by checkley77)

The sum of three consecutive odd integers is less than 100. what are the greatest... (answered by Alan3354)