Question

The sum of 6 consecutive intigers is 519. find the intigers

Answer 1

assume the first integer is
`x`.
then we have the sequence for the 6 numbers:

`x,x+1,x+2,x+3,x+4,x+5`
their sum equals 519. so we have the equation

`(x)+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=519`
now solve it.
`6x+15=519`

`6x=504`

`x=84`
now that we know the value of
`x`, we can find the sequence of the integers:

`84,85,86,87,88,89`