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Mathematics 21 Online
OpenStudy (anonymous):

*******will give medals and fan******* Three times the greatest of the three consecutive even integers exceeds twice the least by 38. What are the integers. Type your response in the space provided.

OpenStudy (aripotta):

so you need to write this as an equation first. any ideas?

OpenStudy (anonymous):

i have no idea its like a a forenlanguge

OpenStudy (aripotta):

lol :) so 3 consecutive integers can be written as "n, (n + 1), and (n + 2)." but since these are consecutive \(\underline{even}\) integers, they can be written as "n, (n + 2), and (n + 4)" the problem says "Three times the greatest of the three consecutive even integers" which can be written algebraically as 3(n + 4). since (n + 4) is the greatest of the three numbers "exceeds twice the least by 38" which can be written out as 2n + 38. since n is the least number. and + 38 since it says "exceeds" so our equation is 3(n + 4) = 2n + 38

OpenStudy (aripotta):

now you can solve for n, and then solve for (n + 2) and (n + 4)

OpenStudy (aripotta):

can you work that out to solve for n?

OpenStudy (aripotta):

@priecetheveil you there?

OpenStudy (anonymous):

sorry i got caught up in something

OpenStudy (aripotta):

that's fine :) can you do that though?

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