Posted by **Julianne** on Thursday, October 16, 2008 at 4:19pm.

The sum of 5 consecutive integers is 1,000. What is the value of the greatest of these integers?

I don't know if I should just start randomly plugging in numbers.

- math -
**Reiny**, Thursday, October 16, 2008 at 4:28pm
<<I don't know if I should just start randomly plugging in numbers>>

unfortunately, lots of folks do math that way, lol

let the first no. be x

then the next 4 consecutive numbers would be x+1, x+2, x+3, and x+4

so x + x+1 + x+2 + x+3 + x+4 = 1000

5x + 10 = 1000

5x = 990

x = 198

the no's are 198, 199, 200, 201, and 202

are they consecutive?

do they add up to 1000 ?

- math -
**Julianne**, Thursday, October 16, 2008 at 4:30pm
Yes they do. Thank you.

- math -
**Ms. Sue**, Thursday, October 16, 2008 at 4:28pm
1000/5 = 200

That should get you started.

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