The sum of 4 consecutive integers is 334. Find the integers.

How to solve an algebra word problem about consecutive integers.

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TC Math Notes

[nikkicole]

It's been decades since algebra, but I found this easy to solve by setting up and solving for X so I ended up with 82, 83, 84, 85 (4 consecutive numbers which equal 334.)
I don't understand some of the comments which have nothing to do with this problem. I enjoyed it and it is good to remind Americans to use our brains once in a while.

[argonwheatbelly]

{82, 83, 84, 85} in about five seconds in my head. Fun problem. Yes, I set up x+(x+1)+(x+2)+(x+3)=4x+6=334. Solve for x.

[aryusure]

Thanks to your teachings I now know how to solve this with my new "friend" called algebra. ;)
X + (X +1) + (X + 2) + (X + 3) = 334
4X + 6 = 334
4X = 334 - 6 = 328
X = 328/4
X = 82
The rest goes without saying if we know what "consecutive" means.

[Vipre-]

Divide by 4, take the two below and the two above.

[NITO]

Thank you so much! I didn't understand how to do this, but now I understand it!! It was really helpful.